{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "51dfffc9-4622-4aed-b182-9ea2f1d923f5",
   "metadata": {},
   "source": [
    "Chapter 13\n",
    "# 鸢尾花样本数据到图，展示分类标签\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e3e96bd1-6c6c-426d-a298-367c834391de",
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "from sklearn.datasets import load_iris\n",
    "from sklearn.metrics.pairwise import euclidean_distances"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3eff1967-d648-414b-8bcd-1a8000d08223",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 加载鸢尾花数据集\n",
    "iris = load_iris()\n",
    "data = iris.data[:, :2] \n",
    "label = iris.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "9f8d3619-0ffe-485b-847e-78dcb97e919a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 计算欧氏距离矩阵\n",
    "D = euclidean_distances(data)\n",
    "# 用成对距离矩阵可以构造无向图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9ee3c014-5bdd-43dc-8d88-f36bd3cd4f76",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建无向图\n",
    "G = nx.Graph(D, nodetype=int)\n",
    "\n",
    "# 提取边的权重，即欧氏距离值\n",
    "edge_weights = [G[i][j]['weight'] for i, j in G.edges]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "b239c7e1-f94a-486c-a897-610da43bdd87",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 使用鸢尾花数据的真实位置绘制图形\n",
    "pos = {i: (data[i, 0], data[i, 1]) for i in range(len(data))}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "f7b95fbe-f4aa-45d9-b7dc-3a0d1be13889",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 选择需要保留的边\n",
    "\n",
    "edge_kept = [(u, v) \n",
    "             for (u, v, d) \n",
    "             in G.edges(data=True) \n",
    "             if d[\"weight\"] <= 0.5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "f25474f7-5851-4c24-a11f-b473a85eb6b9",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 节点颜色映射\n",
    "\n",
    "color_mapping = {0: '#0099FF', \n",
    "                 1: '#FF6600', \n",
    "                 2: '#99FF33'}\n",
    "\n",
    "# 完成每个节点的颜色映射\n",
    "node_color = [color_mapping[label[n]] \n",
    "               for n in G.nodes()]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "1ed50f66-e549-4f30-b433-980d9172307e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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QiAvXb+H3quDsCMQEvfzRjnUrXmtdXR2RKryVupdXMm94sft5PsIKFggEK0WIsGDVNDY28vDDD6+qy1QkLgwrs4YhLMR9Hg3JP5Lxq40vYjl8QuLfboH/WLnw+JmZGdrb2wmFQshyuBlGeXk5FotlVfuD61vD0dzP8/cprGCBQLBShAgLVo2iKKtyCS+OC8PKrGGA327MxL+gn0xYyP/oCvyj/Bkm+trVmb2RmK7BYCAQCPDRRx+tKKkqGtGs4eXcz/MRVrBAIFgNQoQFqyLiip6YmFhx45bFcWFYuTVcNwER4V3Mf67x8D8e3nDTQnsj5lvD13M/RxBWsEAgWC1igINgVTQ2NrJjxw5mZ2eX7Va1mOVEa/GEpWgoLN9VNSEx9Y4JMHxpDXd3dxMIBMjPz192LyCsYIFAsHqEJSxYFdHGFq7m384XseWs4fb2di5cuICiKKRJzzKkWFlqDSvs8l2hqipASkrKDTOZb4ZAIIDX60VRlBueX1jBAoHgZhAiLFgxEVf0CmZ+LCFaXBi+jA2HQiFVeI1GI88//zydnZ38mWuQV69ZCS2KC3+3VOKpfVsB6O/vp6qqCuC2CXLE/VxcXEx/f/91M6VBWMECgeDmECIsWDGRrOjVxIMjRIsLRyzeSD/p559/ntjYWJxOJ1euXKGsrIxNm5LRBWv4y5FiWmZNxChz/OmD8Xy7+MtzZ2VlkZWVBXwpyJHs6JvB4XBgNBpVMb9R3bCwggUCwc0iRFiwYiKu6JXUBy8m4oae72qOWLwWi4Xu7m5iY2Opq6sjFAqxd+9eNQNbM9HLmZcrOXnyJOPj4zyf/zzLXboRQY5kR1+6dAmNRrMiC3m57Ocb1Q0LK1ggENwsQoQFK2I1vaIXExHeQCBATEyMavHOJxAI8Nlnn7FhwwaSk5PVx8+dO7dAPC0WCx0dHSvuHb19+3b0ev0NXdY3yn5ezhoWVrBAILgVhAgLVkTEFb3SeHA0izcQCKDVapcIcF1dHcFgkJycnAUCDDA0NMSLL76o/t1sNjMzM7Pq9UdzWUNYkHU63QL3czSWs4aFFSwQCG4FIcKC6+L1Q4gvXdHj4+PLxoOjCe98wVUUZUFc2Ol00tjYSFlZGcnJyQwODi7IlF5sBd8u5rusa2trCQaD6HQ6Zmdnr/t6EWs4Ly8fvwwGjbCCBYKvEgoKMgG03P7Sxci5NeiRluldcDMIERZE5Ze98K0T4A0BKOg4zF81w2OWhfHgGwnvfOa7eaPFfhd30VpsBc8/T0Q4b5aI+3nHjh3qum7ksg6h4S+67PzolMKUX6IoNsR/2JLB9Xt+CQSCO41MkFq+TyNv4GeGePLYzj+hgIdv+dwKMg38jDpew8sksaSzle9SxrO3vnCECAui0O2Cp47Nf0QiCPzmWXh9uwG/f+XCuxi3283p06cpLy9f4nqeXzdcW1u7rFWan5+/qrjwYhZnP0e4nss6Pz+f/+sM/KDTivzFXXCnW8uvntERa4Zn8m5qKQKB4DZwhj+llffhi+Y+U/Rygn/NI/wZeRy4pXNf5v9Qy/9R/+5miNP8EQoy5Tx/S+cGIcKCKHz7ZLRHJUDhty9Z+EvrqVUJb4S6ujrcbjcVFRXEx8dHPSZiDS9nBQMkJibS1dW1qteGlfV+jrBYkD84W8vftW5BmeeGUpDQAH94WYiwQLBWzDK6QIDDKIDEZf7PLYlwAC91vBb1ucv8LWU8+8WvwM0jRFiwhNbp5Z9za+J4+eWXV3W++bHfpKQk+vr6lhVhSZLo6OhQBfB2sZLez8uRlZVFk5KF0rz0ORlonLw9axQIBKtnkk6I2t5WYVLpYGp66qbPPaXpImT1RX3Owzg+XJiIv+nzgxBhQRRSTDAZ/brDiJ/BwQkyMjJWdK66ujpkWV4Q+70R09PTFBUVXfeY1cSFl3M/rwSPx8Po6CjuAQ8QfY5x5uonJQoEgttELMskRipgllfXz2AxZiURSdGgSEub/+gwY2B13sBoCBEWLOF/PwAHP1S+8OhErMbwneZ3rG2cOdOM1WpFq9WyYcOGqIK8OPN5MYv7SEc4d+4cBQUFN5ywtNK4cGdnJ7m5uTd0P0fweDyMj48TCoVwOp1oNBpsNhvf2F7IQSecHlQILcqM/BcVKzq1QCC4AySQTwbbGeIKCqEvn5Bgs/Y7y3rdVkY8RTxGBx+jMF+IJTbwEprbIKFChAVLSHW18Ag+PpE2LXh8B5385bc2MjmZSXV1NXq9nq6uLhobGwFUQb6R9btcH2n4MiNaUZTrzhu+UVx4amoKgIKCgutOWoqIrqIoyLKMx+PBbDaj1WpZv349RqNRPfavN43xqlPikjd8d23UKPx6tpN/ui6B5cYtCgSCO88h/hMn+QP6uQCABj2b+A7reemWz/0A/waZIJ0cJ5wJoqWMZ9nOb97yuUGIsGARLS0t1NXV8avmAE+4L3BS3oSs0/GMuQt7rIGjR9t5/PHHeeyxx5icnKS6uhqTycSePXs4d+4cJ0+exGazsW3btmXdz9H6SMPCuuCVzhuOhsPhUCc9Lba254sugNFoRKPREAwG0Wg0FBUVLRDeCMFgkK76as69dJhBHwx5oDxeIkaKpa+vl7y8vFWtUSAQ3D5MxPMEf8kMg3gYJ558jMTdlnPrMfMwf8Iu/jkzDGEjBzMJt+XcIERYMI+Wlhb6+vqYnZ0lIyMDl8vFk/rGsKAF4PnnX+aHP/whPT095OXlYbfbVTF+++230Wq1vPTSS2g0Gqqrq5dYyBGWS4xanBG9uG54MYvjwvOznyOPeb1ehoaGVNE1m81kZGQwOjqK3+/H5/ORlpYWVXjnc+bMGSoqKjAYDOQZIE/9fhuwWq2MjY1FdbsLBIK7RxwZxLGyfJXVYiEFCym3/bxChAVAWIBHRkbo7+9n9+7dtLW1IUmSalGaTCbq6+t55ZVXeO2113j11VcxGAw4nU6ampp4+OGH0Wq1fPrpp5hMJvbt24dWqyUUCi0ryPPjwtG6Y93IGp4fF3Y6nTidTjIyMhgbGyMYDALhuuRIpvXw8DAejwev17si4Y3Q3NxMTEwM2dnZUZ+32+309vYyNzeHyWRa0TkFAoEAhAgL+FKAh4eHKSsro7e3l+np6QUiZbFY6O/vp6Kigj179vDzn/+cTZs2LYn9Rizj48ePq2K8e/dugAWC7Pf78fv9FBeHZxIuVxd8PWs4MTGR1tZWLl++jE6nIz4+ntnZWbKysgiFQjQ0NBAKhejr60OSpFUJb4SxsTGGh4d54IEHrntcTk4OHR0dN1UCJRAI7l+ECN/nRAQ44r7Nzs6mv7+f/v5+grYsTk0nEFLgOxl2ZrqvAGFhlGWZ7u5unn322SXnnO+mni/GWq1WFeR+V5A/OdaG72ob+d4O9mZH70ctSRJGo4mPu30cmczFKs2R0ukgTicTDAYZHR3l8OHDWCzhOiFZlhkeHsbr9apriTy3WoLBIPX19WzYsOG6yV2Rdebm5n7RWzrvpl5PIBDcfwgRvo9pbW1lfHyciooK3nnnHb773e9y9OhRMjIyOB4q48hUxPpTOHJVwwvmENajR0lLS+PVV1/ltddeU+PD0VhOjN/s1vLq5zqCcjkaSSKklPDU+Ai+Y5+gkRa6rMddHr51IYHzk0Y05CMj8f3T8MYDM5Rqx8nKykKv1zM4OIjf71ctXo1GQ2Nj4w3F83pUVVWRkZGx4ilJBoOIDwsEgtVxa/22BF9rxsbGOHDgAO+88w7f/OY36evrw2az8cvaHt7U7ENB+uJP+DJ5y1vOJbeNLVu2oNFoeOWVVzhx4gR+v/+6rxMR44qKCt74+BS/elImICsoSIS+aHTzgTOVsfxH2LNnDw0NDbzzzju88847/P7ZWS46w3FWGQ0gMRuAV89Z0BpMGI1GampqSExMJC8vj9zc3FW7nKPR0tKC0WiksLBwVf/Obrfj8XiYm5u75TUIBIJ7H2EJ34e0trYC8MADD/Dzn/+csrIyrFYr586d45FHHuFPmpvQIH8hel+iQeaz2XT+ocOhPlZaWspPfvITDh8+vKLX7rRtQR6QWFxXK6HwV5ddbPb1UVZWhkajQZZlvnciDllZeKyMxLhfS2MgiSc3ZlBTU3NbhDfC2NgYU1NTN6wxXg4RHxYIBCtFWML3GS0tLYyNjQFw4UK4sH3v3r2qFdzU1IRf0kdtPaEg4ZMMdHd3q4/l5eVhsVioqalZ0eu7fIv7TX157oDGRHx8vJrkJUkS/uvcJ/rvwMzQYDBIS0sLycnJK3ZDL2Z+fFggEAiuhxDh+4hIElYk07ejo0MdxtDU1MTOnTu5cuUKpaFeQlEuDQXYYhzD6/WSnZ2t/nnppZdwuVyEQqEFj2dnZ5OYmIiiKLjdboaGhthqmlBHAc5HIyk8W6THZDIRCoUIhUL4fD4qYybQsLRvq14D+9PD/x+pF74dVFdXk56eTk5Ozi2dZ358WCAQCJZDiPB9QkSADxw4oD4WyWyOWMETExMEAgG2GkbYbhoFFFDCfyQUykwzHIobZnZ2lsHBQbUBBqDGh6enp+nr66O3t5eWlhba2toIBoOkpKSwfv16spUxDug7gbALGkCDQrpujqfjHMTExKjNNDo6Ong1oZMYTQitFDk2LMh/XAmJX5TkRuqFb8d7ZLfbsVqtt5TQFUHEhwUCwY0QMeH7gMUC/NZbb2E2m4mLC7d9qq2tZcOGDeqIwfHxcX7xhJ//cr6eT6eTkCUt38gM8Ht74jnx4ThbtmxhcHCQubk5JElS3celpaUcOXKEgwcPotFoSElJwW63I0kSLS0tuFwuBgYG+E3LEMUzAzTEbiGoM7NVP8QfH8pgpNtNQ8MQsizj9/vJz8/HMjrKL3c4eH+2gA/bpknU+vluSZBf35Su7u9m5wvPZ2wsbOFbrdabdkNHQ8SHBQLB9RAifI+zWIDPnj2rPjc2NkZ/fz/x8fEUFRXxox/9SJ0aNDM1yTPxQ2ydqQbgobKH8M84KS8vp76+HqPRSHJyMhqNhqmpKQKBAFlZWYyOjtLa2srjjz+OLMs4HA4aGxtJTU2lp6eHxMREPB4P37L7+ZuHY5EkiQsX+ulqDLeWjAxQqKiooKmpidzcXFJTU3nQBE96LwNQllV2Uz2llyMYDHLt2jWys7NXPKJxpYj6YYFAcD2EO/oeZrEAT05O0trayr59+wCIiYlhYmJC/bvH4yEUCvH444/jdrtVC1dRFJxOJ4ODg2RkZGCz2XC73WrsNiMjg7KyMmRZpry8nIGBAaqqqjh37hwOh4PHHnuM/v5+CgoKsNls+Hw+ioqKCAQCVFdX43Q6SUlJIRAIUFBQgNlsprGxkc2bN6PX65e0gkxPT2doaGjBY7cSF66urqasrAyz2Xxb3NCLicSHx8fHb/u5BQLB1xshwvco0WLAb731Fjt27FA7SDmdTmw2G1qtltdffx2bzQZAXV0dHo8Hg8Gg9nfevHkzVquV/v5+fD4fxcXFXL16FbPZzMzMDKOjo+h0OlJTU6msrKS2tpacnBz27t3LBx98QF5eHhqNhpmZGdLS0ujp6aGuro7NmzdTUFBAbW0tu3btwm63Mz09TXJysir6i5nfUzrCzcaFW1payMrKYnp6+ra6oRcj4sMCgSAaQoTvQRYL8MjICK+99hrFxcVs3LhRFeGWlhYqKio4cuQIbrebyspKZFlGr9cTGxurDlSQZZn+/n4CgYAqzCkpKciyTGNjIzk5OWqjjNHRUXw+H7t37+bTTz/ljTfeID8/H6PRSFxcHH19fczNzbF79242bNhAdXU1MTExZGZm4vF4qKurY9++fcTExBAIBAiFQlH3uNgaTkxMZGZmZlXv09jYGHNzc8iyfMvZ0CshOzsbh8OxIKFNIBDc34iY8CoJyfCXTfC/mmB0Dvakwn/YBjtu/4SrGzI4C//hMrzTDVoN/EohvBTbytxkWIBHRkaYnZ2lt7cXg8HAZO4Bth0J0TatJU3az7dsXfiOH2fXrl2cOHECn8+HTqcjMzOTuro6rFYrsiyrCUXBYJC8vDw8Hg+zs7PExcWxa9cuzp49y+bNm6mvr6egoIDy8nIAampqCIVCzM3NqQ1C1q1bR0pKCr29vUxOTrJr1y50Oh0TExNcvHiRQ4cO4fV60ev1lJeXq0lNkWlOEW5l3nBkL9euXWPTpk14vd474oZejIgPC9aCfqqo5ftM0EYs6VTwCiU8hRS1Yl9wtxGW8Cr5v8/D71yAdhdM++GTfnjgfagevbvrcPpg17vw960w7oMRL/xlo8K3azMpKCmnq6sLi8WCyWSivb0dR84hXjgOVyc1uEMaOoM2/mRiGz0ZB5icnMRkMlFVVYXZbKatrY24uDgsFgsajQaNRkNeXh6bNm3C4/GQnp7O8PAweXl5dHZ2YrVaOXbsGLt27VLdx++99x7btm3D5XLR29vLnj178Pl8xMbG0tbWhslkUgXY5XLhcrmw2WxIkqS6obVaLUVFRXR0dES1iBdbw6uJC1dXV7N9+3ZGR0fvqBt6MSI+LLib9HGWj/injFBHgFmcdHKK/x9X+MFaL03wBUKEV0GfG/53M8x3JoYUkJWwRXo3+btrMDALwXmLCSHR5Y/lFx0htFotExMTfPjhhzz/4rf4s84kALVRRrgftMIfN8dy7mIVRUVFBINB9uzZg9VqpaCggNzc3AVlNTqdjlAoRFZWFh6Ph8zMTBoaGkhJSeGJJ57g/PnzyLLM22+/jUajIRAIsHv3biYnJ+no6CA5OZnu7m7y8vLQ6XQoioLL5VJd0AD9/f0L5vbOF+LFbtzFseGVxoVbWlrIzs5mZGTkrrihFyPiw4K7RTV/BYCiNrwJf4eu8AP8uNdoVYL5CHf0KqgZXSjAEUIKnB2ScTgG7tpaTvYkomBmcQ9mnaTQ6InlJc00n3/+OVlZWbSNeRj1xkc5i8REQM+sPoGtW7dSW1tLeno6jnm9oRcTcQu73W4aGhqw2+2q9VtRUcH3v/99UlNTefTRR+nr60OWZdVl/dRTTyHLMnl5eXi9Xpqamujv7+fw4cNoNBpMJhNut3uBCEdes6ioiObmZqxW64Ln5s8bXkm9cCQOnJmZedfc0NHIzs4W9cOCO0qIAJNEvykN4cNJF6lU3OVVCRYjLOFVkBqz3DMKVry0trYyOjqKLC9ts3i7STLKaKL8dssKWEKz1NfXA+GxgDa9jDbq7QNoUUi26Pjkk0+w2Wy0traSmJhIYmL0+b5Wq5Xjx49TWFiI3++noKCAK1euUF1dzfvvv8/GjRtJSEhgbGwMjUaD1+tV3dtXr15VG4QEAgGcTif79u2jt7eXwcFBjEYjLpcr+jq1WqxWq9oeM0K0TOnliMSBN2/ezMjIyF11Qy9G9JcW3Gk06NCz/CxtM/a7uBrBcghLeBXsSYUSG3S6FEKLJvs8Zx/CarWSmJjIyMiI+nhaWhpZWVlqze3t4h/6pvhJH4Rt88haFDQobA820z/cz6OPPoqiKJgUP0+le3h/yLxgMpIGmW1KBzZDuHXlyy+/TEtLC2lpacTGxi55zZaWFmZmZigtLaWgoIC33noLo9FId3c3RqORLVu2sHHjRkZHR7lw4QJarZaKigokSeLVV1/l+9//Pi6XC71eT11dHXv37kWj0VBQUKC6kd1ut1oWtRhJkrBarUuSteZbw9eLC1dXV1NZWUlvby+5ubm38vbfFubHh5OSktZ6OYJ7DAmJdbxAnfJjkJR5j2tJYzNWstZwdYIIwhJeBRoJfvkY5MbMs8RQ+NWsGb6ZOExSUhLDw8NoNBq2bt3K9u3bAbh06RLV1dVUV1erLtqbJRQK0dXVxaaEEP+tYgoDX64lRgry/ybW4htqp6ysjObmZhwOB1qtlsecH7BBv3CYwO6EOV6Sz5Cbm0soFOLs2bP4fL4lrynLMmfPnsVms7Fjxw4kSeLixYv4fD6Sk5Pxer1q+VMoFKK1tRWNRoPFYqGvr08tdTpw4AAnTpygpqZGFWCA2dlZYmJiKCsrIyUlhatXry7pTa2+35K0JFlrvjW8XFw4Egf2+/13rCnHzSDiw4I7yVbleyS5dix4LIlSHuaP12hFgsUIS3iVFFkVju3q4+KYhomAjgLNBE/t3UR3dybj4+MkJiaSlpbGpUuX0Ol0bN68WU3+kWWZgYEBLl8OZ3EpirIqS3liYoLp6Wlyc3OZnZ1le6COd4s1DMaV4JlxURDoZWywD0wmTCYTGRkZhEIhPvvsM+yxsZx73MK5nkFONvWToXWzPl5mNGCmqakJi8VCTk4OPT09XL58mfj4eGw2G6FQCEVR2LNnD8FgkOrqahRFITU1lZmZGS5evKjGcL1eL59++imZmZls2rQJrVbLz3/+c37t135NtYCTk5MZGBhY0I1rcHCQ4uJiANavX09NTQ0JCQl0d3djMplIT09fYBnPT9aKWMTzreHFceFIHLisrIyOjg71tb4qiPiw4E4x0DvMBv8/IznOwIC3nhg5hfy4naI86SuEEOFVMjIyQnpaKtv8fQC43X4A1dpzuVyMjo6ybt06dDrdAjHW6XTqiD9YuSiHQiF6e3ux2WwUFBQQCoUYGxtjZGSEF198EYfDgS9e4eLFQXw+H08++SRNTU2kp6dz9uxZkpKS1EzmopQUdEkzuN1uurpGyMrKIhQKMTQ0xOzsLLt27UKr1XLhwgW1jEar1XLp0iW1c5bBYKCnp4exsTESEhIoLS2lurqakZERduzYgcfjwWq1cu7cOdavX8/Zs2dJTExkYmKCp59+ml/+8pccPXqUxx9/fEk2dGTfZrOZgoICvF6vKsbz3dTRhDhabDgSB963bx89PT1fCTf0YkT9sOBOMDExgdlsRqvVkqDJRgrEAwgB/oohRHgVRAYMpKWlLXhclmU0Gg35+fl0d3czMzODxWIhFAqxa9cuPB7PEjGGsODcSJQtFgtGo5H8/Hw1BtrV1cXs7Kzab3l4eJi5uTncbjfbt29ndnaW/fv389Of/pTCwkLi4+OJi4sjOTlZvUmIiYlBq9UiSRJTU1OsX7+elpYW9Ho9RqMRu93Onj17+PGPf0woFCI/P5/k5GR1z1VVVaxbt46hoSEaGxtRFIV169bhcrkoLCwEYGhoiBdffJHh4WE++eQTXnnlFTQaDU8//TQ//OEPaW1tJS4ubklv6Mgc3uTk5AVi7Ha70Wq1qhgvFuKINTw/Lnz58mUqKytxuVxfKTf0YkR8WHA78fl8zMzMoCjKV/LGU/AlIia8CqJl1KampjIw8GVpUn5+PnFxcYyOjmKz2Whvb8doNLJr1y7WrVvHpUuXuHTpUtTkoYgoV1ZWsnXrVuz2cPai0+mktraW6upqamtrSU1Npa2tjezsbIaGhkhNTVWtvaSkJCYmJjhy5AgHDhxgcHCQxMREioqK8Pl8hEIhVUyDwSAxMTHIsozdbmfz5s1cvXoVj8fD1NQUly5dQq/XYzAYqK+v5+OPP2Z6epr33nuP0tJSvF4vTqeTAwcOEBMTQ3d3NykpKUiSxLlz58jPz8flctHU1MTBgwfVOmKAX/mVX+Hzzz+PKjilpaVLXMqR0YsGg4Hu7m41ZjxfiGVZVt3wkX+flZWF0Whc82zolSDiw4LbgaIo9Pb2kpGRgU6nu+1JoYLbi/h0VkjECo70XY6QlZXF8PDwgsciQtzV1UVhYSE9PT24XC5iYmJWJMYTExP09vaSn5/P+vXrqayspLKykpKSEgCOHj2K3+9ndDTcpuuzzz4jKysLu91OIBCgra2NDRs20NnZyTe/+U1aWlro6+sjKSmFj2ay+NPBIo55cikoKMJms+HxeGhoaMDr9WK322lra+PAgQPkbNrLz9nNT5U96LI2cODAAd5++208Hg8TExPodDqSk5Pp7++nuLiYCwNzvDVk5eQADAwOUVxcTF1dHQUFBWRlZbFt2zbOnj2LLMuMjo6yZ88e3njjjSX7v96Phk6no6CgQI0ZDw4OotFoVCFOSUnB5Znj3a4Qn3qz8cZlfmWyoVeC6C8tuFUi1/vAwACZmZlrvRzBDRDu6BWynCW1nGBEXNONjY1UVFQwPDzMzMwMmZmZqhgvdlNLkrQg9jufubk5mpubycrKorOzk1/91V9FlmWOHTuG3+9Hp9PR29tLU1MTe/bsob29nZycHEKhEI8++ig/+OA0v308C09IB+Rxcg5+OBvir33n0el0eDwe+vr6KC0tJTU1lW++OcD7s/nARgAOnFLYpXPwr+0JqvXscDhITExkeNLFHzjKOD1VAqfC6801PIHmUiPPH9hLX18fkiRhsVjYtm0bn332GaWlpWzcuJHu7m41Pjyf+S7paESLGRcWFvLe1X5+szGXcX/Ydf+Xb8GruSn8fe5X0w29GBEfFtwKExMTxMXFodFohBX8NUF8QitgOSt4PtHKjiIWcX19PWlpaap7OlJaM98yPnPmjJpZPL9RRiAQoLu7m6tXr7Jjxw6cTqd6MzA1NcXg4CCPPfYYZWVl9Pb2qpm2MzMzTE9PU1dXhyzL/Lvp/XhCCxMyvLKGfzGwBZvNxsaNG9m1axeJiYkcaZjg/dk8FvYHk7gYzKE9eR8PPvggJSUlFBYW0t/fz39sMHHWufC96feb+G+uStxut9qgI7LnlJQUurq6kGWZp59+mpGREXp6ehb8+2gu6WhExDghIYGOnj7+SWM2k/6F+3ytN4b/r/mGp/rKIPpLC26GSBw4MTGR/v5+YQV/TViVJRwIBAgEAndqLWtOZG+L9zgyMkJiYuKCxyNCGggESEpKoq+vL+pFn5WVRW9vL1evXmX9+vXk5OTQ2dlJUlIScXFxhEIhBgYGWLduHWazmcuXL6PT6SgvL2dkZAStVotGo6GsrAxFUWhvb+eZZ54hEAjw7rvv8txzz+FyuTh37hy7du1ClmXa2tp48cUXqa6uJj4+np9+fJ4Bz14Wt7gEiWksdE0r+Fta0Gg0xMbG8jcTe9TnF6LwP68ZKJ04hqIozM3NoSBxWilVe1Kr7w8aLo7Cz0/WUmbXqFnNbrcbs9mMoii8+eabpKenk5eXx8cff0xZWdmCaUmjo6P4/f4FnwPAmTNnon5+52bsjPm1Sx6XUPibFoXfKIk+FvGrSFxcHP39/ZhMJoxG47LHLXfN3muIfV4fRVHU8JfH40GSJEKh0ILucpHQ11q/h/fbZ3kjJGUFwafIhJuf/exnxMQs27tR8BWlyZ/A7zv3L/v8nyacptzgVP/+z8YP0BuyEk2EEzVz/F3yJ+ojAUXim6NPL3vu/5xwmtJ5576TfOrN5i9dW6M+Z9d4+cG8dQsEAsGdxOPx8MorrzA9Pb2k5/18VmUJHzx4cNmewvcCgUCA48ePc/jwYfR6PRC2vuLi4pbcfETm45aWlgJQW1vL1q3RBSBCb28vbrebsrIyHA4Her2eubk58vLykGWZwcFBtFotGRkZaDQa3G43Fy5cICkpiY0bN/Lhhx/yzDPPcOHCBQYHB3nhhRd49913ycnJUZtnxMbGIssyExMTav1vZZKC5JRRkFgorAqSopAy28ecrFcH3JcyQC+2qHso0k0yPT1NfHw8sbGxSJJE3vgEvbL9i/N/iZEgj2xIZ33R7gV36vPxeDxcvXqVXbt28fHHH6PX6zl8+DAQdvHX1taqncdOnz4NwP79+9XnJyYmmJ2dZWJigqLuhQlyEbSSwmP5Rp7Y/8R1P5+vIn6/n+Hh4WWnPUW7Zu9FxD6XZ3JyEkBNzBwdHY3qlZuengbAZov+3b5b3C+f5cTExIqOW5UI6/X6e/pNixDZp6Io+P3+qBdtxG0aeT80Go3qOl6OoqIi6uvrOX/+PA8++CBarRafz0dtbS0JCQmUlJQs+Pfj4+M89thjzM3N8cknYSvO6XTS3t7Od7/7Xd58800qKyvRaDR0dXUxMzNDWloaU1NTxMfHs379ejo6OvD5fDxm7OSor5gve02H//uosR2tFMLl8pKWlobBYOCZvio+V4rxowPpy77UWmR+L7efzNhyJicn6e7uRqvV8r0kC/92JAFJUpDRoEFBRuJ3CifpbWums7me0tJSioqKllw/NpuN7du3U1VVxVNPPcVrr73GwMCAmpSk0WgW/Ju5uTkGBwcJhUI4nU5iY2PR6XSMj4/zzJ6NnK+f4o0h2xc7lNBKCmYt/FrKAFpt5tcuUUWv15OQkMD09PR164fvt+/mvc5K9+nz+fB6ver3pb+/n9zc3KjXeaQ/wVfl/bvXP8uV7u3r9Yt0l1lNbenieuHFRHo+Z2Zmkp+fT319Pd3d3YyMjLBz507i4+MXDKgfGBggPT0djUZDTEwMgUCAJ554gnfeeYfS0lJ+/OMfY7PZGBsb49q1a0xMTPDkk09SWVlJdnY2nZ2dHD9+nM2bNxMKhfh1Sx2/kdyNBT8SMhYpwNOhizzn/5wHHniA9evXk5iYiMPhQArO8afaNylUBtEoITSKTIFuiv8c8xHOnmZkWUaWZV5++WUee+wxEkev8s9Db7NJO0SyPsD2xBBvHoLvFXp45plnOHDgAM3NzXz44YdR7w4jWdNnz57l5Zdf5sSJE/j9fjXZrb6+XvUiBAIBFEVBr9dTUlKCXq9ndHSUiooKfD4f/6FklL/eK7HRrmDXeHmpQOHS8xIPlqXR2dmJx+NZ5VWw9oj6YUE0IvXAkfK7QCAgMqK/hogSpWVYrjvWcmRlZXH58uUls3BhYc9nWZZxuVwEAgFcLhebNm0CwtOW3G437e3tJCUlodVq1UlGdXV1mM1mfv7zn5OYmEhbWxvx8fFqg40TJ06wZcsWPB4Px48fx+fz8dBDD3H16lWmp6eRZZn169fjrjrFlpAXSZJIT09naGiIZ555jgsXLjA1NYUsywSDQTQaDTbJy58mnmdubo5gMMjTTz9NdbWOqSkTV69eJTExkQ8//FAd4mB0ufiTl5P4/POT4de8BBOFheTm5jI5Ocm3vvUt1aIPBAIcOHBgQWjDYrGwZcsWPv/8c0pLS/nJT37CoUOHKCsro7q6GqvVikajwWw2k5qaytDQEG63m9jYWKanp1WBKistoQz4jZIQH330CU/sfwK9XgPoKS4upr+/H7fbTUpKyq1dIHcZ0V9asJiIAEeuh4gVLPh6IUR4GVbbYSna3ef8ns/Z2dn09fWh1WrJzc1V64jr6+upqAgP1o6NjSUvL4+qqiqSkpJwOBwANDU1kZKSQkxMDIqi8NBDD5GXl4fH4+Ho0aMEAgGqqqowmUwcPnwYv99PVVUVwWCQnp4e7HY7Fy5c4OGHH+by5cuqNSpJEjU1Nfh8PjVzMi8vD6vVSlNTE1qtNpwBrSicP3+e7OxsHnroIZqamujt7UWn06EoCi6Xi2AwyC9+8Qvy8/PZvn07U1NT9Pb28vrrr2MwGFAUhZKSEp5++mlVjP1+P5s2bVJbSUqSxPbt22lsbMRisVBTU8OOHTvU96WtrY3Z2VmmpqbIz88nFApx4cIF9XOKNDO5HllZWUxNTdHV1UVeXt7XxmoQ9cOC+UTqgSOZ88IK/voiRDgKq7WC5xPpIx2xfjMyMtThCItjNREhrqurIyEhgZGRESYmJrDb7fh8PtLT05mYmCA9PZ3+/n6sViuVlZXqj/DQ0BBTU1NotVri4uJIT0+nsbGRtrY2AoEAoVCIl19+GZfLxcmTJzl37hyJiYlq/WlRURG9vb3k5OTg9/tVV+/Q0BA2m42EhAT12JiYGIqLi6mpqSEzM5Ouri58Ph9FRUXIskxWVhYNDQ1IksTJkycJhULo9XrS0tLYs2cPFy5coKGhgUAgQE5ODps2bSIQCNDQ0IAsyzzwwAP4/X7cbreaVNLd3U0oFMJisXDlyhX8fj+xsbGkp6cD4fnACQkJwMoEOEJ8fDwWi4XOzk61ecrXAdFfWgBf1gPPvxkTVvDXFyHCURgdHb2pPsOpqanqvGCLxYIkSYyOji4RX1mW6e/vV+tenU4nU1NTFBYWUl5errqh3W43n3/+OT6fD7PZrAqw2+3mk08+weVy8eKLL9LW1kZLSwvj4+NIkkRsbCxTU1Ns3ryZqqoqdDodjz/+OB999BGPPvoof//3fw+ERfzQoUN8/PHH6vAFRVEYGRnBbrezceNG+vv7CQaD7Nu3j7NnzxIMBqmpqaG4uJiBgQF6enrYs2cP6enpXL58mfXr15Obm4vJZGJkZITx8XHeffddde85OTnMzs5y+fJlFEUhIyODxMRETp06hUajUTPwMzIy8Pv9HDt2jEcffZSRkZEFYtnS0gKEhWk1AhxBr/96uqftdjt9fX3Mzc0tGXwhuPeJxIHnj+MUVvDXGyHCUfB6vWRlZUV9TlHgzS74s/ocxvw6Hh6Ff70Zim3h7k2XLl2ipKQEn8+niq8sy/T19amiC+EY8LZt29QvTlNTEz09PZw0P8D/bARXAJJ0ep7yp7Nd6mLz5s0kJSXxzjvvAGERiYuL45NPPlGTjYqLi5mZmWF8fJycnBxkWSYvL4/x8XGSk5M5GSrlX78mM+5/Feuon99d5+Xzz3+J2WwmJiYGn89HT09PuCTLlsif1Uu87n0CWdLQeUXL4/EpzDg6yc7OprW1Vb0Tb2hoYMKczX+b2sq/+CCGFI3MK6njPJlnpLKyUhXPYDDIlStXmJiYUCch9fb24nA40Ol0lJWVce7cOXw+HyUlJRQVFTE7O8tfn2zlF5r9DPqNGDUhvq14eNbfR2Fh/k0J8Hy+ju7p7OxsOpvrKOz5JdrLb3LA5UKjqYPDvwOm2Fs+f4gAzRyhnQ8J4SeXB6ng25iIj3q8ky6u8iNGaSCWNNbzLfI4cMvrECxlcRwYhBX8dUeIcBSuZxX94WX4w1rQEIOMxI/a4I1OhTe29JKlDQ+uz83NZXBwUB1JCEtFdz6hUAiTycR/ndzM+/NKXYf8Bv5WeYjkgnKsDWe4fPkyJpNJHelXXFyMy+VCo9Go7t3R0VG+853vEAwG6e3tpba2luTkZH7njI/XgjshCEganIqJ328y8c24PXwntoVr167x7LPP0tXVReXO3bx4Lp7mgD3cuFKR+NM6hZ/ocqh/pZyGyxdZt24dg4Ph+cW9+myeflsGsgihoY8EqrvsmDLgH8eExXdoaIhQKERaWhpbtmxBp9MRDAapq6tTBxZcuHABRVEwGAw0NzdjMBiYzt3Pn41FXK8SQVnibzv1XLHto7rk9riRv27uaSnop+C934C+WiRFxgrw4R9C44fwu6dBv3yHrRuhoPAJv4uD80Talk7RQxcneI7XMBK34PgxWniff4RMEIUQLvoZoJpd/HMq+NWb36RgCYvjwCCs4HsBIcLziDQPW+5HeMQDf3wl/P+RNo1BBTxB+PN2K3+cO4Lb7eby5ctkZGQsK7qL6erqIiGzkPc/XXysBJLCn3Um8b/0sxiNRnQ6HTk5OTz44IPU1tZSVFSEwWDA4XAwPDzM888/D4RrArVaLZmZmcTbk/iL0/ovz6n+V+GtmQL+cdoASUlJfPTRR2RnZ/Ned4imwMKYo4xEXzCOP/q0h0eM4ZpiSZI4dOgQD3ygQQaULyreIu/N716UedDowGLQkJ6ertYpRtDpdGzbtk2dSxwpN+rr68PpdOJyufjX46Yvljx/3VAzHUPjBGy4Tb1jvlbu6cu/QNN7aeFjigw91XD5F7DrOzd96kFqcHBu4amRcdFPC2+zmX+w4Llq/hqZAAqyeixADf+bMp7FwK1b5oLocWAQVvC9gBDheURGAy7HuZGw6C5GRuLidBx+vx+TyYTT6SQYDNLX13fD13S73RgMBr5/DaA4yhESPsmAorcgSSHGx8eZmpriBz/4ATExMWi1WrV+NiEhgddff33BuU0mE3X1I8iaaG5bCRmJEx0uSnTjeDweZmZm+NiXgVYTIsTSPsyfDihsMA3S39+PJEm8/+HHNHpeir63oIYPrvZRZpji6tWrS54PBoP4fD40Gg0mk0l1sUVGJAaDQabHYlnaPjPMa+3wX25zA7evhXv62knQ6EBeOAZT0WjxXP6AycwDN33qNtunSHFaFGlRn21FoXPuNInjDy14eDCrBkVaOrwkhI9RGsli102vRRAmWhwYhBV8ryA+vS9QFAWv13vdY2zXmYZn0QSYnZ3FbDYzOzu7otf0+XxIkoTBYCBRf71m3wo6gszOzqLT6ZBlGYPBQCgUwuv1EggElkx4ijTUcLlcJGh84WD2MueOw6PGlYPBIGYpsKQFJYQHIcRqguj1eoLBIAaDAQ0yepbORI4Qq1n6XDAY3ksgECAmJgaz2byk9jUQCOB2u9GwfGvzVPOyT90S8fHxasOTr2RzD3P0toOKAq6g5pZmEetki2rNLkSDXllq1erk5T+EjmYH/f39USeMCVZOtDgwICYl3SMIS/gLRkZGSElJobl5+Zl3D6ZDZozCkIcFU4MkFF7JnWNj+UYkScLn85GZmYlWqyUlJSXqFJxQKERPTw+FhYX4/X60tVcxOkL4FA2L+zvnGzzoNGCIjSUpKYl9+/ZhMpmor6+noaGBhx56CK1Wu6BRyIkTJ5BlmW3btuF0Oolr9DBDzJJzp5gU/s13vsX3v/99XnjhBT7++GOeMk/z8diXrS0jyGj494/mk+vXYjAYyMrKYnBwkOcuuzgyHI88755OK0GFHf7JcwfVx7xeL0NDQ5jNZtWdHWFmZob29nZ8Ph9jY2PodDri4+PZzDS13vgl69Yg8Vvrl/2obpmvtHt696tw8i+WPKxRQvSk72e2rY24uDgSExMpKChYlaUUM/cMbfwkLOTz33JJplh5Ur3GIqVsGTMP0Wv7Jcy3hmUJgy+ZfWXP0+/oX5AbkZ6ervZGF9yYaHFgEFbwvYQQYb6sC77RcAqtpPDfS7r5XmM2U0E9EgoKEjtMI3w3y0V8fCYjIyPo9Xqys7NRFIWxsTF8Pl/4388T5a6uLrKzs6murkaSJLZu3cx/mr7Gv+wt/0LgwwJo0cr8acYVNNMGUlJSsFgsNDY2Mjo6ytjYGN/85jdpaGhY0N/62LFjjI6Osm7dOpqamhgfH+cPbG5+332IAFr13AZJ4b/nNfPOO21kZWVx/vx5fD4f39hXzOXjF/hhcBcRp6QE/PO8UR7KTuX8+RFyc3Pp7u5Go9HwdKCWRsNemv12deXpZpk3DoV/IOaLb35+PpIkqaIbDAYJhUJMTU1htVrR6/VkZWWpNcif2RIofQOGvajrloC/2e3FpLtDpvA8vpLu6ZytzHzjT4n98PfDsWAAjRb5hf9GUu5hYufmcLvdeL1eampqAFYkyOGe3Bo2mv45DYl/gcKXLmmpbhuTHgvd6d0YDAa1jv1h87/indlunJYGUMI5DBqfhdT6X+XYxDEOHTqkxixlWcbhcAhRXiHLxYFBxILvJYQIs7LuWJFZvutjg5x9wMEv+xQmAnoezDbibjrFjDOHAU24aUQoFOLy5cvk5OQssPiCwSBjY2P09fUxMTFBb28vO3fuJC4ujvPnz/NAooH/2ftDzic8RL/fTM5cFy+nTeEcnWDDhg1s3ryZ6elpzpw5g9Pp5Jvf/CbXrl3D5XIxNjaGJElcvXqVYDCoNtRwu90kJSWxszAZe91P+Ci0nu5QAutj5/iDnWYCPolTjcMcOHCA3t5eSktLOXXqFPu0IZ4vMfBel0xQgX+wNZn8eB3nzp1ThwoMDAyEu3lZTby1fozhOBuNTi05sVAa7CHLkE5XV1h8k5KS6OjoULuAGQwGZFlW+0Dv3bsXh8OBy+UiPz+f5ORk9b0f+g681ga/uOYl3RRk9+SnFDkTkeUH7sqP91cte3pubo6R8hcZSd+DUv9LZmdnyX7yn5BYsIFiwj/QKSkpTE9P43a71R/r5QR5bm4Oh8NBRkYGWq2W3ks57Mv8GzoCn5KWlUxJzMOcctTSMdmB1+MlIyODzMxMzGYzg4ODZPT8I3Zs1dMxdZHAtIGRGiO5WzcTNAf5+OOP2bZtG5mZ4eEZubm5QpRXwHJxYBBW8L3GfS/C87tjLTeEOSLAWq2WmJgYrFYrh2baAdi2YRtvtmjUIfdtbW0UFRVx+fJl4uLi6O7uJiYmhtTUVGRZpqOjg0AgwKFDh9BoNIyNjXH27FnVFZ6ZYue71i71B2p4WOall15ibGyM+vp6TCYTfr+fp59+mrq6OmJiYigpKaGnp4fPPvsMk8mERqPB4XAs6FY1PDwMcpBvxnbgdrtJjk2ms93AxMQExcXFOBwODAYDfX19BAIBrFYrZRl2xrvOYom1kGtNJRAIMDk5yb59+xgcHKS9vR2r1UpxcXG4H3SmlgOZYcu3rm6U3q4ObDYbkiSpHbe6urrUftRlZWXExMTQ0tJCU1MTRUVFrF8f3cf8agkcNIfbbU5OFjA6OrpgzOGd5qvinlYUBYfDgUajYUqyYNv/PXqbmghMeEksCB8Tsd51Oh07d+6ko6ODiYkJcnNzycjIYHBwUBVkjUZDSkqK2pP6zJkzZGZmMuueZVP8t4jzx+Ge8lBSUsLVq1dxuVykpqbi8/lobm4mLi4OrUZLrmkHHmccsiwTSuhhaGiIgoICysvLaW1tpb+/n507dy7Yy2pE+X7D4XBEjQODsILvNe77W6kbWcERAbbZbNhsNvx+/5IBzbt372Z8fByfz6cKLYSHEhQUFGA0Gvnkk084c+YMycnJPPTQQxgMBnQ6Hd3d3ezcuROv14vf72fnzp04nU76+/sxGAwYjUZaWlrIz8/H5XJRVVXF888/j81mY/fu3WRnZ/PJJ5/Q2trKyy+/jE6nIxAIkJiYSHx8PA6Hg6mpKWZmZpAkCYvFQigUUtcdCATYsGEDSUlJdHd3k5KSorqFr169itFoxO/3k5qaqna46ujooKOjg4SEBLKzs9Vxj1VVVRw7dozz589jsVjIzc1ly5YtGI1GZmdnaW1tpbCwkJ07d7J161Z6e3upqqoiJSWF3bt3L7B+r8emTZvUQdnd3d03+cnfHFlZWRgMBrq6utYk4ai3t5fU1FRMJhOyLKtlX4vXEh8fT05Ojmq97969W51PDeH30G63k5SUxPDwMNXV1Rw/fpzi4mK0Wi1erxev14vD4SAhIYHS0lJ27dqljs0cGhpCq9Wq12YEjUbD+vXrGRoaIiYmRu2bHhsby9GjR/H7/cvuLSLKlZWVVFZWsm3bNtWrVFtbC4Rd5vdDoldsbGzUXBJhBd973NeW8I16REcEODMzk7GxMSwWS9SevVlZWVy8eJH4+Hj1B2J8fJy5uTnq6+uRJImDBw/S1taGTqdjeHiY1NRULly4QFlZGaOjo7hcLpKTk/F4PASDQfUHsq2tDafTyenTpxkYGGDnzp3U19ezbt06Ll26RHNzM7m5uej1en7xi1+g1Wp55pln1FhrTU0Ner2e2dlZvN5wfW+kH/TJkycpKChgamqKjo4O8vLyGBwcJCkpCafTicFgQJIkEhIS0Ov1tLa2sm/fPj7//HMMBgMzMzMATE1NqfHeHTt2EAgEaGlpYXBwkPHxcTZt2qS24pRlmaamJlwu13Ut3xtRXFzM8PAwBoOB5ORk9fx3g7VyT4+Njam9o/Pz8xkcHLzu8TqdboH1HukuVlVVRUNDAxs2bFBHa/b19aEoCnV1dWi1Wqanp8nOziYlJQWzORx7z83NxeFwIMsyzc3NlJWVYbVakSSJnp4etQuawWAgIyODa9eukZ2drVrfe/fu5dixY2zdunVFWb3zLeVAIMBHH32kinKEe819HblJsdvtUZ8XVvC9x71x5d4k17OCIwKcl5fHwMAAubm5zMzMLLGCI+zatYv29nbm5uYwm814PB4+/PBDNm/eTGVlJWNjY+Tl5VFUVERcXBxHjx4lKSkJo9HI9PQ0Q0ND6s1AYmIibrebPXv2qKVH3d3dfPOb31R//H/2s5/R2trK448/zuTkpPrvDx06RHt7OyMjI5jNZkZHR9XBDFlZWbROBrgaSGU4GKMmQ3V0dJCamorXG473jY2NhWcYy9Cty+Ky28rxz85gMBj44IMPCAQCyLKsujArKirYvXs3U1NTVFdXU19fT2FhIQcPHiQ9PZ3Y2FhVfG/G8o3Gpk2bGB0dZceOHdTW1t516yjinp6YmLhhffntYG5uDq/XS0xMDEajkampqQU3HjEx4c8zGllZWRiNRq5du0ZbWxsbNmzg0UcfZXZ2lgsXLtDd3a2Wu8THx7Nz507sdjttbW3U1dXR0dGhvr87duxgfHycjRs30tjYiE6nIyUlhQSri/GR7zPj/JS0tDQKCwtxOBzqjV1OTg4jIyN84xvfoK2tjaqqqpt6H7Kzs6NayjU1NdTU1Ky6JGqWMa7yI1p4F/k6pXZ3A0VRrttbQFjB9yb3rSV8PSt4vgAPDQ2Rk5Nzw8k1keziqakp+vr6OHDgANXV1fT09JCamrpkPvCuXbswGo18/vnnhEIhtFot5eXlxMXFUV1drQqUyWSip6eHiooKVWyMRiOBQACbzcann36KXq8nPj4erVZLWloaubm5dHZ28t5776nWiWKI4X/M7ePzkS/usCdgm6aXf1x/jo2lBbS2tpKamopOpyMpKYmaGRv/bWoLLsJWkMUZ4J/G1/NcYZzalnNoaAifz0d/fz9DQ0OUlZUtsUhjY2O5dOkSgUDglizfaBQXF3P27Fk2bdp0V+PD88nOzr7j2dOROHBRURHd3d3k5+dTW1vLxo0bVWu4oKCAa9eusW3btqjn8Hg8aj5BhJKSEhRF4c0338RisaDVatm+fTvXrl1jy5Yt6nHzs6wjsf3I96O/v4dp/e/RtcGJclACTjPg+HvWe/6U7Oxszpw5w/bt2xkbGyMnJ4eOjg4OHDhAS0sLR48e5eGHH1ZHWa6WW030+pT/l04+Uf9+lj/lQf49JTxxU+u5VSITzdra2qI+L6zge5P7VoSvZwV3dnZSWFiI2+3GYrFgMpkYHBxc1nLz+/1cvXoVu93OzMwMFRUVjI6OYrfbCYVC1NfXs2/fPgDOnz9PWVkZdruda9eukZycTG1tLYcOHWJ2dpbe3l5iY2PRarW0tbUxMTGB0WgkFArh8/kYGRmhoKCAQCCAy+XCYrFQWlrK2NgY69atUzOQZVmmuLiYhoYG4uPj+fOJ9Vz0JixY9xU5m0+TnibecRQId9jq6+sjsXAjfzS1g+C8QtFZRcd/dW5lT0EPozU1JCcnMzs7S3p6Ohs3blzynsiyTEtLCy6XC7PZfEcEctOmTRw5cgSbzabGh+fHJ+8Wd9o9HWnW4PP5MBqNSJKkNmyJEMk2X8z8zOeIV6W/v5+ZmRn1M4pMwaqqqqK6uhqPx8P69etVyzo9PZ309HRCoRBXrlwhFAqp4Y11W09QXeqEeQlE4xnQOPB77Ft3jGPHjvHggw+qJVMRIS4vLyc7O3tV7ukbsRpRbtD8ZIEAAyiE+Jx/RxY7iOHujoqM1AMvd0MirOB7l/tShJezgiOdhnJycgBwuVzk5eUxNjYW1QoOBoNqne/mzZsxGAwcOXKEjIwMurq6mJ6eJiEhgeTkZNra2hgfH1cF2O12q0MKMjIy1Nm+Y2NjAExOTqruvImJCebm5ujt7WXDhg10dHRQVFREMBgkJSWF3t5eXC6Xmix16NAhqqqqGBsbQ6/XE9CYqKJkQYMRCDffODIQwz6Nl7L8LJxOJzt27ODPW4yEkNRe0GEkJGR+0Crx2jcexGKx0N/fj81mW3BDM198I5bv2NgYLpdrWVf+rVBcXMzp06fZv38/Fy9evOvx4QgR97TD4bit2dOROHAkGWw1Nxnhut+QGjaA8DUeycqfnp4mPT2drKwsenp62LlzJ1qtlqNHj3LhwgUSExMX7KO7u5stW7agKArBYBCv10tjai0sam+qaCXGcySufPg3SFI+v/jFLygsLGRyclLNmzh+/Dh2u52MjAzOnz+v1tYvR+QG4+rVq6sWosjxsixz7do1Ll26xNijPwATUTuiXuL/Yz//dlWvcSvMrwderkJDWMH3LvflbVU0K1hRFDo7O4HwD2pPT4960S+OBfv9fnVgQiTmG7mD3bVrF8ePHyc9PR1JkpienqasrIz29nZMJhN2ux2Xy8Uvf/lLHn74YcbGxnj66afVXtP79u1jYmKCsbExHnzwQR588EG8Xi+dnZ0kJCTQ3t5OcXExVquVXbt2YbFYcDgc+P1+du/eTVlZGTU1NWzbto3BwUG+/e1v4wxqCS3zUYfQoFjsqstOkiQ8hoSoR8tIkJCF1WrF4XCQlZVFfHy82mJyuZhvcnKymgx2u4nEhoE1iw/PJzs7+7ZlT0fiwHa7nbm5OdUKdjqdUW80LBYLU1NTzM3NqRn92dnZ4XCEojA4OEh3dzcJCQlq/aler8flciFJElqtFr/fT3JyMrt378bj8XDlyhUGBwcZHBxUwyp1dXVs2bKFDRs24LVqF1jB89GbxikuLsbpdDI3N4fdbmdychKdTofNZmNychJFUSgoKMBkMtHa2npHPzuNRqNm9GPwR29JrsAMw1GeuDNE6oGvJ7DCCr63ue8s4WhWcCQGHInH9Pf3k5OTgyRJC6zgiNtZkiR1KtBi91EkUzoYDJKYmMj4+DinTp1Sy5jOnDnDzMwMe/bsob6+Xu3SdeHCBYxGI8eOHSMYDFJaWorVauUnP/mJ2tQiEhfOzMxEkiQuXLiAzWYjNTUVu91OfX09VquVxMREzp8/j0ajoaGhAc30ILHM4WbpEPg4yccjO9ZTdf6sOjC+QKMnyNJYuQTsTNMRCoXUH21Zlpmenqauro7t27cvG/ONi4u7K9ZwJD68adOm2/46K+V2uKfnx4EhbNVGrOCurq6oIYCioiLOnz9PYWGhav1G2kvOzc2Rnp6uZjqfOXOG3bt3o9Pp1KlfAO3t7epr5uXlkZeXR29vL6Ojo6xfvx5JkhgYGFDFMiEgM5mpAc1CRZNCCinJj1BUugmv14vL5SIzM5PS0lKmpqbUrmh9fX3qWmdmZvj888+juqcDgQCDg4Ns3rwZvV7PzTI6OsqFCxeQCqwo8eNLhVgCf7edxtlGysrKlkz+ut0s1xd6PsIKvre5726tFlvB85OwIoIaExODyRQWrJmZGUwmE9XV1dTV1amW7/W+nJWVlXz66ads2bJFdSdarVampqbUTOVIbOyJJ57go48+UrOqfT6fWjZ09OhRYmJi0Ol0JCQkUFtby44dOzh//jxOp5Pdu3cTDAbJzs4mMTERr9fLxYsX6e/vp7W1FZPJRHd3N0X5ufzjjKHIhiM7B+BFYwO1NVVYLBbKy8s5fPgwT6a5SWEazbxG/loU7AaZ3yhHjTHOt3wj2bbLcbes4Uh8uLe394681kq51ezp+T/O861gYEk8GMIuzd7e3gVu3fmWb0FBgSrAV65cUQUmFAqRlJSE2WxWO6zFx8er552bm2N8fJz4+Hjq6up4++23KSoqorKyki1bthBztTJ8oPzFdaUooCikVBk4fa6XH/3oR2zcuJGJiQkyMzMZHh7G5/MxNTWF0WhUvweKohAXF8dTTz1Fa2vrTWdPR2N0dJT33nuPt99+mzNnzhAbG0tCyzfU5aoogF+HrXc/4+PjVFVVUVVVRWNjI8Hg7c+cXq4v9HyEFXzvc199shErOJKgsliAI5mjEet0YGCAgYGBBeK7kkzOyHnOnTtHSkoKMTExHD16lPLycgwGA4WFhbz77rvodDpOnTpFSkoKubm5tLe38/zzz9Pf38/ExITa8Sg3Nxej0agmTsXHx5OZmUlfXx+Dg4N4PB4cDgcOh4PY2Fi1+1VJSQlabXjYwn65gVflT0nXuNAgk6l1828z23nc3I3ZbObgwYPIsszAwABtjXX8x7jP+GamB4tOwaiReSEfTj7iYXqgk76+Pi5durTA7azT6bDb7YyMjCz7vkSs4TtBxBqGcNbv3SgbWgk3456eHweGsJjeqGvU+Pg4RUVF6PX6ZcUXoK+vD5PJpIYK5ocVIlUAly5doqamhoaGBmpra9WSoMOHD1NSUoJOp+Pjjz/mpz/9KbL0NIlvlZPQH0IKKsRMhUg7kcDAlZfR6/XY7XaOHDmCy+Xi5MmTaonetWvXCAQCS4QY4KGHHiIuLo6PPvrous09rsd84b106RLl5eWkp6eTlJSE1WrlmR2/iXLsEBqfJSy+CsSHCjF/8Gv0dPVhtVqJiYlBURTsdjtXrly5rYIciQPfqF+9mJR073NfuaPnW8GLBXh+jZ7f7+fKlStMTU1x4MCBVZVQDAwMkJ6eTldXF+Pj46SlpdHc3MyePXtobm4mJyeHsbExhoaG2L17txpvbmxs5IknnuD111/H6/ViNpt56qmnOH36NAaDAa1Wi8lkIjs7G7fbzcmTJ9Hr9cTExOB0OlV3dVdXl/ojEXHxud1uMjIy2CN18AcHczl9+i0SExMxao3wxbSdlpYWiouL+eCDD7BYLOzZvZlHGOfPNk2RkJCA2WympaWP5q4ucnJyorp74+Pj6e/vZ3Z2dsloRQhbw11dXXfEJR3JlI6wbds2Pv74469Ed6XVuKcjceBIcuBiK3h+PHhubk4tUcrIyGBoaAiv14tGo6GgoCDqufv7+9mzZw8QnuQVCARoamrC5/MRDAaRZVn1JkxPT1NQUKB+XnV1dVRUVFBTU8Pc3ByxsbEMDg4SH/801uZfJXR+KhyGyc9nUNuALMvMzMxgt9vZtm0bH330EQ6Hg+eff54tW7Zw8eJFKioqsNlsqhBHXNPr1q1bkD29kkS3iKs5FAphMpk4fPgwExMT9Pf3EwgECIVCFBcXk5GRwRtvvEGCtBX90Z2q0OcXFFD5QiU//elPaWhooKCggG3bttHa2kooFGLDhg1qhrgsy1gslptyWV+vL/R8hBV8f3DffLrzreBoLui+vj5VoBsbG8nMzGTXrl2rEuDp6Wm0Wi319fVs27aNqamwgGVmZjI6Okp3dze9vb1MTU2RmZmpJlQ1NjayYcMGfv7znwPhMgqj0cg777yjtr40m83qv4l01QoGg+Tk5BAfH8/4+DhXrlzB6/ViMpnU5LLExEQyMjIYHR0lOTlZ7YwE4exvk8lEIBBg8+bN/PKXv8RsNrNt2zZycnKYnZ1Fq9XS09NDVVUVSUlJVFRUqB2WohEZb7ic+N0tazjyw1VXV3dHXmu1rMQ9HYkDz88SXmwFd3V1UVhYyODgIGNjY6SnpwNh93VCQgK7d+9mYGAg6vlramqoqKigvr6empoaTp48yczMDAUFBVRWVmK1Wtm3b5/aC3x0dFS9YQgGg/h8Po4eParWpcfHxxMXF0dKSgozMzPqdKXMzEzsdjs6nQ6/308wGOTixYvk5eWRlpbGkSNH+PGPf0xBQQF9fX309PRgMBiWWMTz3dOXLl2KuqfFFu/hw4d5/vnn2bhxI3V1dfj9fuLj4/F4POzZs0cNo7hcLp544gl0Oh2SJKllXwDf/va30el09PX1ceXKFZKTk9mxYwft7e20tLRQXl7Ozp07yc7OvikLeSVxYBBW8P3CfSPCESs4mgAPDw/T3d1Ne3t4KMPWrVvx+XyrstgiE5K6urrIysqiqamJPXv20N7eztDQEE1NTezYsYO0tDT6+vooLCwkOTmZoaEhgsEgp0+fxmq1Ul5ezvDwMF6vl5deeol9+/ah0+mYmZlRBzNs376d+Ph45ubm6OrqoqmpCZPJRGZmJsFgkGeeeQaLxcLs7KyaWRsIBLBYLOh0OvXHxmg0EgwGKSgo4I033sBms7F+/XpSU1MZHx+nv7+fnp4e1e3s9XrJygpnR8fHxy8rxPn5+fT09ER97m7FhiNEhmh8Vbiee3rxj/NiKxi+jP1arVa0Wq3q/s/Ly8NsNi+pF460Tn3vvfcIhUJ0dHRQUFDA1q1bKSkpYevWraplPTs7S3x8PKFQiLm5OcrLy+nr62N2dpbPP/+c7u5udu/ejd/vJysri/7+frKysti+fTulpaVqrPrUqVNqIlF+fr7a5zsQCDA0NMT3vvc9HnnkET788EMuXLhAMBiks7OTubm5JUIMYfd0ZI1+v39Z4X3iiSeYmJjgwoUL+P1+KioqGBoawmazUVlZiUajYXp6mnPnzvHoo49y7dq1BaWHFouF6elpICzEAD09PUxPT1NfX8+WLVtUMb548SJarZbKyspVCfJK4sAgrOD7ifviE45YwTExMUtiwBcuXKC+vp49e/awdetWgBt2x4pGd3c3IyMjxMTEMDw8rLqax8fHURSFPXv2oNVqcTgc6HQ6HA4HnZ2d+P1+nE4nKSkp2O12ent71USr2tpaqqqq8Pv9FBUVMT09TSAQoLq6GrfbjdVqJTMzk+LiYnVSE8CJEydUa8XhcDAxMUFSUhKKojA1NaV+sY1GI9nZ2Rw9ehSbzcZTTz2Fx+NhYGCAU6dOsXXrVjXmOz8jGriuEN8oPny3rGEIZwyPjIzgdrvvyOvdDPHx8WRnZ9PZ2YnH4wGWxoFhqRUcif/HxMQwOjpKQkLCklr3ubk5hoeH1TaO165dw2QyUVJSwoEDB9i8ebOaN5CVlRV1fZGmJ1qtltzcXE6ePElfXx/PPfccbW1tbNmyherqaoqLi0lOTqa9vZ2SkhLS09Ox2+3ExMTQ3d1NVlYWvb29bN26lcHBQcxmM3FxcfzgBz8gIyOD733vezz22GMcP36czz77jNHRUYaGhsjOzl4ixJHY6euvv86ZM2cWCG9MTAwOh0MV38iNQiQMFHkPZVnmww8/xG63k5OTg9vtJiHhywY2ZWVlC7pVRYT46tWrZGZmcubMGfx+/xIxdrvdqtBfT5BXGgeOfNbCCr4/uCdjwooCRx3wwzaY8sEOq5t/siFVFWCA6upqIJxNu2vXLiRJUgvl3W636uaLxukh+E/deUwG9DyqwHP2ISYdDrRarTqlqLa2loqKCnzGeH7rgp6eE5kYtQqb5ib5jmWYgYEBAoEASUlJZGZmMj4+zvj4uNo4IYJGo2FiYoKMjAxmZmbQarUMDAywd+9erFarmkFdVlbG5cuXefjhh3n33XdVd6Hf72d6epqpqSlspTv52zYDnSE9BS4fz9uHGDx3jvj4eJ599lk+++wzQqEQcXFxbNy4cUGHsMVuUkD1FPT19akxzAjXiw/fzdgwhOuHz549ywMP3J35wythfnOPyclJZFkmRzsNP/1/YbSDYGo5MRtfRpIK1K5XHo8Hg8GA3W5Xk60i12xtbS0ajQa9Xk9WVhb5+fmqt6S2tlaNAwNLbqggbGFqNJoF9cChUIgTJ05gMBh45JFHOHHiBIcPH+azzz7DYrEgSZJalx6pJoh0fTKZTAwPDxMbG0tdXR0PPPAA586dIysrE7PxKB+2/G80sRLZ/vX8w+/8IVcbBvjss8+QJInKykoyMzO5fPkyfSNtePIuEUrph21mDqd9j87TPhoaGti5cycOh0Odn7x7925mZ2c5e/asOkZxPufOncPr9fLKK6/gdruZmZnhgQceoL6+HmCBlyjCt7/9bX7605/yySef8PBLm3h//P9BGz9LpmkT67d8C4ucSl1dHT6fjw0bNhAbG4vNZmNr5SZa+YDOwEkaZ7zYJjZj6FvH/n0PRr8ghq/BZ3+FdrCZjT4zxqzfQaMpurWL7AtmGKKJXzBsacQip7GFb5NE2W05t+DWuSdF+N9dgj+6AloJQorCpwOx/LgnwOknMtQ6382bNzM0NERqauqS2Mz17lT/ugn+6TnQYieERM0Vhf8p2fmLdC2F8TomJiaoqKgINzXoHefA+TwCaCAIBOETaQtNs1n8vnyEnJwc7HY7w8PDhEIhFEXB6XSq83e3b9+ORqNRGy24XC727NnD22+/TVpaGhcuXECn05GamorT6USv19PU1ERCQoLajzqSDTtkLeXXrxaiIBFCQ5tX5thALn8QF2RnaRKfffYZNpuNvLw8pqamFngCov1oR7ieEGdlZdHe3k5hYeES8bvTdcPnz59X/67RaNa0v/T1yMrKoq6ujtTRyyjv/Ga4bFUOom39nNTzf8fod95g0JhNXFwcXq+XLVu20N7ejs/nA1AnWW3dulWtn/X7/TQ0NLBt2zZqamrYvXv3gteMdkPV3t6uWtVxcXH09PRw9uxZdu3axcjICB0dHRw+fJjTp08zMTHBwYMHo3oXtFotVquV9PR0nE4nGRkZtLS0cOHCBR577DGudH6bkcdmkUIKigaGlHquOZ/hkaKfkJ0ddiefPXsWAGuajtBTbxHQT6EggyJxTPPP2PHQb+M+W8hPfvITduzYoe6vpaVFHXyy+Hprb2+nra2Nw4cPA6iu6MVJVRGXtM1mUx/79re/zY9O/3ve1/4PpDQNCiEmlEZapLd4WvN3bNmyBVmWVTEu31DKqdh/xTBXQC9BArgS6snIeoArV60osrIwqav1c/iLR0GR0chB8iQN0t+dgNhjUHpghVdSdCZo532+SxAfij6EpGjp4RgP8ycUcOiWzi24PXw1zILbSJcL/vhK+P9DCoCEjES/V89/OOtSS43m94VeTFxcXNRzO33wLy98ce4vqvxlRcIl63ndXUpqaippaWmMjo4yOTnJv7hqDQsw0rw/MCAl02mtYHJyks7OTux2O7t37+aFF16gsLAQvV6vWhoDAwN0d3eTmJhIYmIinZ2dxMTE0Nvbq7oLJyYmaGhoICEhgW3btiFJEm63W51eVFZWzl+MlRJCo3bOktEgo+GH/krs9kQKCwvVbl46nW5Brej1XJdwfdf0cvHhOx0bjrT/jDC/v/RXid7eXtaVlZF28j+AHAL5i8x2JQRBH5Zf/j6hUIjJyUmGh4fp7OxUE6kqKyujZkFH4sLz64EjLHdDNTMzw9zcHBkZGZw6dYq6ujoef/xxBgcH8Xq97Nmzh+HhYTWR69q1a5SVleF2u5fEN7dt20ZLSwuHDh2iq6uLX/mVXyEUCtF09RcM7Q8Lt6KVwp22NBIz8Rqq2n+bs2fP0tPTw6/92q+FQyOl5/DpnCiSHP7qaMLu6Wrlr7BnmXnmmWdobW2lo6ODs2fPLoj9zmd6eporV66oZViR9yFaVvNilzRAiADsPwsoKIRncSPJBOQ5zof+HAjf6EXc1NUTPw0LcHinRGryB01nyaiUF7qsL15k7u9/HUUOqp+9RpHD//+z/2tRIfPquch/J8icum5FCqEgc5b/tOZTowRh7jlL+Fh/9MdlJM7MhEUsGAyq1t78H+tIUkZra2tUq+/EeCw+eWl/WxkN52bsDA21qz8AgUCA2qm9y6xS4VNfAfuTJrBaraSkpOByudQ4qcfjYXp6mjNnzhAfH49er6e7uxtFUbh27Rpms5kzZ85gs9koKipicHAQn89HUlISH3/8MdPT05hMJi5duoTFYqFxcIpB2RZlFRI9vhg6JkfZW57DxYsX2bVr1wIxvZ4VPJ/lLOL58eHFrULvpDVcWFi45KagpKRkTftLL0aNAzu7wbn0wpUUGctoAza9gjEhjampKRITE3E6nTidTvUcEC6Nm/8ZDQ4OkpiYqLqyI4yMjJCcnLzgMYChoSGSk5P56U9/SnJyMlu3bqW/v5/u7m72799PT08Pzc3NyLJMbGwsPp9PzU3IycnB4XCoVvnQ0BCKotDc3Ex+fj7vvvsu6enp+HXvRn0fFK3EdP4EKXMpYbFuakKj0WDYOERAE0WEJIVu/xmc9XMoisKpU6eIi4tDkqQlN1mKotDd3c3s7CwbN27k3Llzaua32Wzm3Llz6rrPnTunrn9+fbInthffpuml3bU0MkNKDUePfYg1Nl59eKK0DhQJpEVrlzVcHH6T9O6Q+pBhdgSTc+mNoaTIMNxCe81nBOOWD41dD5kgA2XVUdtzzjHFONdIYcNNnVtw+7jnLGGTNnLfuRgFnezH7XYvm3gVcfEthzHaD8IX6JEXuLVHRkbQXefdteglUlJSliQpRdzRkZjc/BZ9U1NTmM1mNBoNHo+H/Px85ubm8Hg82Gw2tVe13+8nJSUFWZbZuHEjXtfUdfeVlpiglmhNT0+vygqez3IWcaS/9OKOWnfSGt6wIfqPy1ehvzQs7AuNfqk3JoKChMkSx8zMzIKmG9fD5/Ph8/mWhFVCofCP/2JLcXR0FFmWOXfuHBUVFZSXlxMIBKirq2PDhg1oNBra29txuVxUVlYyPDxMcXExKSkpao36YrRaLXq9Xs0rSExMRA4ucyOnKGiCEv39/UxPTzM5ORlep7x8e8rxEada2lRWVobJZIqacT40NITH41nQ9nFiYgKNRrPgOp+PXq9XfwtCoRDemes0DFG0+Ob8C5IQJVm33I8QGnmh3ROSrm8HKdqbG/MIoMiAsvyPkJbrZ2gL7g73nCX8dC4YNOCXFebfAkrAgyYHs7OzZGdnq+IWGxuL3W5nfHyc1NRUzpw5Q2lpadT+tPlBhX/dFmI6oEGZd24NCgdjBlQx9Pl8lJeXs6dxjE/c0e9in9I3EheXTnFxMSMjI/h8PjQaDVu3bmVubg5AzY4sKSlBlmWmpqbUKThWq5WcnBzOnTundgGK1Drq9Xq6urqw2Wzh5iGxWnYqXmomjcjSl19KraSwKcaF5B5jxuulrKyMgYEBNXltpVbwfJaziJeLD99JaxjCoyMffPDLZJivQnx4cV9okvLxJJdjGm8NuyK/QJY0yOseJ6uwlMuXL7Njx44ldeuhUEjNpI1cs2fOnOGpp56iubl5QXJST08PW7ZsWfB5ulwuzp07h16v55VXXlFre8+ePUtWVhaFhYV0dHQgyzLbt2/HbDaTm5urxpTHxsYwm83o9Xo1jJOdnc3s7CzJyck4nU6ef/55jhw5gj3+aTTB/4WsY8nQh5hracwEAkxMTKj19baR7YzmHF1oUSqgBHS4WxIoyk1Sb0hjY2PZuHGjGgvPzMykvb1drQx4/PHH1VNUVVWh0WiorAy33IzUVe/du1cto2ptbSUrKwudTkdyyi5+MvtzguYJ1SX+xQdE4lQle/c8AITjzBaLhZmrKfBIFBXWyOxJfRV7SjE1NTW43W78fomJpAoSxhsXtIlVJC1S8T5Ktj2w9DzXIRQKcfnyZZxOJz6fj/iUbUwnXQ679L9AUjSYA6l4x8woGcoN65UFd5Z7zhJONMFrB8NJWRoUdF98gZ/IkfjDh9LUu3q/309ubi56vZ6+vj66urrU+anR7uxdLhf9PZ38efkgBo2CNO/c6y0efqfMg9VqVeO8DQ0NfIezJOD54gyK+meftpPKFA319fW8/vrrTE1N4ff7ycvLWxCjLikpAaCtrY3GxkaKioqYmJggOTmZlJQUTp48yfT0NBkZGYRCIS5dukQgECAtLQ1FUYiPj8flcnHgwAGecr6LVZoDFLTIgEKiPsRPHjUTCATweDxMTEws2PtqrOD5LGcRR4sP30lrGFgSG4a1jw/PrweOhB2aKv8VAX1s+ArRhO+NvcZEzmW/zMjISNR+0dGIxIHNZvMCqzDaDZXP5+ODDz7AaDTywgsvqAJ8/vx5YmNjWbduHf39/WonrXXr1tHd3U1ZWTizNhIPzsrKwmg0qt8fCJeGdXd3k5aWxpkzZwgEAvT0+Uj8ZR6SDJKsIIWTNkhpBa/z25jNZrKzs9FoNNTU1DB0LBlp+IsSLVkTdvHKWhKvfpNN67bT1dVFV1cXW7ZsYffu3QwNDWE2m/n000/52c9+RldXF2NjY7zwwgvqutxu94LvWCAQwO/34/f71UEV6enpWK1W1Xp+79330J06jBQ0gAKSEn4PpRkb08fCdf319fW0trZy+fJl8nX7MXftmLfu8M+spekAJ964wtGjR0lISCArKwuLxcLldb9JIMYe/uy1ehQgGJPItR2/e+OL6YvPtrq6mmPHjnHixAnMZjPFxcUcOHCAbyT/EVbCN0ySEnYT6ojhUcN/ISkxie7ubgYGBqL+5gnuDvecJQzwrQKFTF8fR8dsuIIani2z8kCSn6EhF/v37wfg0qVLHD16lKKiIuLj4ykvL8dsNtPQ0EB/f7/6YxUbG6sOcdBoNDyULtNS6OH/1LkZD+h4al0ST2RbuHjBxcTUFE6nU3Vzeb1eGp508YenOjjnzyYx1sjuqc/5l09VcvSog8LCQmZnZ2lubkan0xEMBqmoqFiwl5KSEq5du4bD4cDlcpGQkMDk5CQejwen04nJZEJRFBISEhgcHESv1zM2NobFYiEQCFBaWsrbb79Nfmws7+Q10pmwjRMNDpLlSX73QA4+p5PC0lIcDgeyLON2uxkeHiYpKWnVVvB8olnEy8WH73RsODJhaT5rFR+eXw9cX1+vNlGZpZAzj/6QQuclEuUpZq15XAxkERubRHNzM4FAAFmWr1titbgv9HwWZ0T39PRw6tQpHnvsMXXYRUSAd+7cSV1dHYqiMD4+zvDwMC+++CLDw8ML6mrb29tVSzs+Pl69CZ2dnUWv16sd4YaGhtDr9Wg0GoaGDmH54QDx2RfRmoMEx4oZn9xJbKwevV7L+Pg4ycnJBINBRkdHUT54glBGH5qMYeIMKRRLj2EwxuPyuXjuuefo7e3lzTffRKPR8MILL5CUlIQsy7zzzjt0dHSQlpbG8ePH0Wq1bNiwge7ubmJiYtSmJzqdDr1ejyRJC1zWFouFjz/+GJ/Ph1arJVlah/Z8KTEbB5nTT5Bv3Uae7SB/P/sjTp8+TVxcHMXFxZjNZq5du0ap5R+g1TxNi+coiiyR6KpkW8HD9Bb3Mjs7qyZbzs3NkVS8jaHKU+SMXUQZukbdyBy2h34DoymW+vr6Jb8JsNDiBSgvLyc/P5+ZmRnVMxZhV/9/ZS69lZFgMwGnkUzvfpILysEEBQXhErju7m6MRiMZGRnCMr7L3JMiPDIywpbcJHLjwrGlrIw42tt7FvRqjbgiL126RF1dHZs2bVLdsBF3tcvlore3l5iYGHp6erBarciyzPqcHL6TGU5ssZtCVFd1kZCQgMPhID4+ntTUVNra2ti2bRtnz57m/65Yz99usDM0NMT583O8++67agbp008/zfnz58nMzKS1tZXm5mZsNpuacRrpxBUIBOjq6mLbtm00NTXx3HPP8f3vf1/dx9DQEAaDQW3+YDAYyMzM5NKlS1itVp599lmam5v5brmWnP52PB4Pii9RtaIjVtDGjRuZnZ3l0qVL5OTkoCg3766KJsTR6ofvZN3whg0beO+996I+d7frhyNxYJvNxpkzZygrK6O/v1+NQVqzCxhPzUKXlobFYkF//jwWi4W5uTnm5uau23va5/Mt6AsNX84XjiQtRW6oTp06xcjICE8//fSCedTnz59nz549NDQ0sGHDBi5evIjX66WiogKdTqd2zIoQDAYXWJUajQabzcaFCxfQarVqd7qIB2dkZASj0YjevJ7+9gy1wYzP101WVrw6c3hqaorZ2VnS09PDsVZHFkXmh3C73dSNtSNJknqju2PHDlXMImJcUlKidv7SarUkJycTExPD5cuXGRsbU2PVZrOZlJSUJdf3wMAAbW1t6jURKWO02WxYPeGe6c4eJ69d/on63gaDQbKysqipqSEtLY3W1lYCjQHKyr6F3W4noSABj8dDXl4eVVVV5OXl0djYSHp6Olu2bGFoaAjN3l8nEAjg+OgjEkyxaleyiBBHE94dO3YwNjbGzMwMRqNxyQ2YLMvIQYlS3eOkuncT0AUYnh1e8P0zmUxCjNeQe84dvXhSEnwpAtEuqtzcXB555BGmp6c5fvy4eo7e3l48Hg8bN25EkiQ2bdqk9rft6+vD4XDQ0NCAwxG2aEdGRkhPT8dkMtHW1sbu3bvp7u7m0KFDxMbG8sknn9Db28uTTz6p/gjk5OTw5ptvkpOTo/aT3rhxIw6Hg46ODpqamlRXkaIo5OXl0dnZSWpqKufPn8dgMKjlK36/X+31bLfbkWWZ2tparFYrr7zyCvX19WzevBlAre/U6XRYLBZGR0cXNMg3mUykp6djs9no7u5meHj4pt1V0VzT0fpL380uWhHmx4fvNJE4sNPppKOjg71799Lf34/NZmN2dhZZltXh9gB2u53i4mKmp6dxuVykpqYyNjamitliImMu51NUVERnZ6caVggGg7z11ltoNBoeeOABEhISaG9vJzc3VxVgjUZDIBBQ62h9Ph/r1q1bYgUvJmLxjo2NsWPHDkZGRpicnGTr1q0Eg0G1pWZ8fDwzMzNIkqSGQCLtWzMyMtQYc15eHqOjo8TGxmK1Wuno6ADg4MGDHDx4EKPRSFtbGz/84Q/p6uoiJSWFxx9/nLKyMpqbm7l27Rrl5eVUVlYyPj6O0+lk3759bNq0iaKiIvbu3UtHRwfHjx9X3+PR0VFOnTrF1atX2bt3Ly6Xi5ycHDXWXl5eTnd3Nx9//DEtLS288MILbN26leeffx6/38/HH3+MzWYjISGB7du3s2PHDrq7u2lpaVHrvPv6+njiiSdobW0lOzsbu91OVVXVksqBjIwMda754OAgv/jFLzhx4gRpaWk8+uijPProo+r4SaPRuGDQxnwGBgYWhJT0ej2xsbFRr6GIGCcmJgo39V3knhPhxa7OmZmZZeuBI89brVa2b9+uFvK/9957eDwe0tLS6OrqIj09nenpaVJTU/F6varbd8OGDWp7PK/Xi1arZWJiApvNxuDgII899hjDw8MMDQ2xb98+0tLSuHLlCsXFxZw7d479+/fz3HPPceHCBZxOJ8PDw7S0tKjJLx0dHZw+fZrx8XHS09ORJInk5GQGBwfp7+/n0KFDNDY24nK5VHefJEk4nU5cLhdGo5FXXnkFj8eDTqdDp9MxNjamxhYjwhsMBhfMkY38aEeGR0T6L9+sGEcT4sXx4bvdUzrC3YoPNzc3MzAwQEZGBtu2baOuro7ExERcLhdJSUnExsbidDoX/JAajUZ1epbFYsFsNuNwODAajUsygYuLi5fUvRoMBoLBIJIk4XA4OHLkCHv37iU9PV1t5ehyudQ+5waDgbq6OtW13NTUxMGDBwEWxILhy3iw3+9XZ22npKSgKAoffPABiYmJPP/889TV1akim5OTg8/nW9ATOSUlBavVitfrZWJigpKSEqampnA4HGzevBm9Xk8wGFTzI6qqqpidnWXnzp0cPHiQ5557jsHBQd5//32OHz9OR0cHZrOZyspKzp49yy9/+Us2b95MXFwc77//vpoMZzab2bNnD4cPH8Zms2EwGPj4448ZHBxEo9Hw0UcfYbPZVOt8ZmaGH/3oR/T29vLwww+za9cuzp8/T2dnJ2fOnFHDGqOjo+rwioGBAdatW4fBYOC9995Tk8FOnDhBTk4OKSkpFBUVodPp6OjoWHCN1tbWcvXqVY4fP866deuorKwkPT1dncJ2I/GFsBUcDAaXJJlqtVqMRuOy87+FGN9d7ikRXmwFR8pilusDPTY2pj4XsVQAnn32WWZnZzly5Ig6Gm5kZITGxkacTmd4mIHexomWYQrL1pOWlobdHnY3JyYmql2nPvnkE+x2O9u3b2dwcFBtJhATE8PU1BTnzp1jdnaWp59+GrfbzcaNG9m5cyfTIT3ne11kFZZis9kYHx9X48axsbHExsaGY0lJScz5g7Tq8jk9oiXwRUmT1+vFYrHw6KOPAqhWcOT9iFaKFSlNipbAczvEeLEQR+svvRbWMITjw3eyv/T58+dxOp3s37+f5ORkrly5QlJSkjpyb3R0lI0bN6qZ7xGsViubNm1S3Y8RF2pzc7PaezoyynC5a9zlctHV1UVdXR0vvvgibreb/Px8IGy9OhwOVYCDwSAej4epqSlVdLVabVQr+Nq1a8zMzKiztjdu3EhHRwezs7OsW7eOhx9+mIaGBnJywvXniYmJ6oxsi8WCKTGEPtVNT1+XKgpDQ0P09vYSGxurlujZ7XYeeughOjs7gbAXpbq6ms8//1xd51NPPUVJSQlFRUUYDAa8Xi/19fUUFRXxyCOP8Oabb3LmzBm1jj7S6hMg4HNjnjlKrO8SDzzwAC+99BJ+v59Nmzah0WhobGzk2LFj9Pb2cvDgQRISErhw4QLNzc1s3bqV7du3I0kSzz77LK+++iqhUIhPP/2UhIQENm1aT5/zF4SMVRx86IBq0ZpMJnbu3ElxcTFXrlxh69at2O12ampqeP/99wFIS0vjmWeeobS0lJycHPLz81EUhZMnT95QfCMstoIjRBI3rzf7G4QY3y3uqZjw4nnBIyMj183unZmZITk5WXVFpaen09DQAITdgevXr6e6uprq6mry8/M5cOAAox6Z/T+f4oxrCyDxB+8p/EpMP/tDXeTn55OVlUUgEODQoUO0tbWpiS2BQACHw6H2xrVYLFy8eBGNRkN6ejpPPvkkRz44yruWx/jI/xIyEv/pfJDDiptfiZvFEmOmo6NDFcfk5GT+zaej/K/gq4QcGmADOu0Bvj17kr2GXtLT00lLS1tgBXd2dqoziCNCHJnWEvlhitbSMEJEjCOJJZGY3kpjR4tjxIvjw3e7p/R87kR8eHp6mtraWpKSkti4cSOAKsAxMTHqFKJIedpi7HY7DQ0N6HQ61T1ZWFhIZ2cnNTU1bN26lYaGhmWT53w+nxoueeaZZxb0hY6UIeXm5qqekatXrxIMBsnPz2dkZITCwkKABbFgv9/P1atXGRwc5IknnsBgMFBTU0NXVxcmkwm73c6mTZs4c+YM27dv5/XXX8dsNqPT6SgsLGTY3cFQ6RsEU8I3vBpfDD0XdpOYsFO9iS0qKsJkMlFTU4PBYECj0ZCbm4vH42FoaIgNGzbQ3t7O1NSUOnJQURQ1y/m3fuu3CAQCfPDBB3z22WeYzWYsFovq0jYajVRVVRE3++fUbm3B893w/uu7P6XnyJMUlH+HmZkZhoaGkCSJtLQ0zGYzp0+fRpIkdQrS1NQUra2tPP7444yNjeHxeNi1axc1NTV82vRPmdnXgZIe/m58GPiIVONeNJr9ZGRkqJasx+Ph/fffJzY2lpKSEoLBIG1tbRiNRjQaDVqtVp0TnZ+fj9VqpaenJ2qy1nyWs4LhSw9JTEzMsrO/5yNixneWe8YSXmwFz58PHI2xsTESExPV2G/kLhrCmaM6nY6rV69iMpl48cUXiY2N5e233+HAG07Oz9iI1CC7AhJ/M72e9oTtpKamYrfb1eb1kWxRi8XCjh07OHDggDrPNRgMEggEVKukubmZN82P89GYFfmLc/vR8aG0nY/84ZaY+fn5JCQkMDMzw+lRHX85nKe2zwQIouVHusPYy3agKArBYFC1giMJKUajccEXc3R0VI3VrbQu+FYs48UW8eL48FpZw7c7PlxfX097ezuZmZlq45CIAKekpDA8PExGRgZtbW1qMly0hKuRkREeffRRLl26RGJiIg6Hg4qKCsxmM++//74a5+/p6Vngnu7p6eGNN97g0UcfVTP8IwISScJKSkqitLQUCIckHA4HW7Zs4ezZszz55JNAeKJYQkLCArfz5s2byczMRJZljhw5og4YyczMJC4ujjNnzpCRkcGHH36IRqNhz549WK1WYq0WBrb8LcHkL+cdKwYPyoFP0eWMotFocDqdtLW1qaIzNTXF2NiYGiopKyujo6NDra/XaDSMjo4yNTVFf38/6enpaq38888/zze+8Q0OHDigig6ES8QmGv8LZw904LF9+V0YyzExdOhjLl/8lIaGBtWtXF5eTnFxMS+88AIHDhxg27ZtFBcXc/HiRUKhEB988AH19fUYDAZsNhtl22ZwPdixoE+GrIOhvefYutNOa2sr1dXVnPtieMr+/fvJz88nPz9fbUPq9/upra3F6/UyOTmpWr75+fnExcWpQyeWYzkrOIJGoyEpKemG1vB8hGV8Z7hnRHi+FRwRvmh3gRFGR0fVoeiLx8FFuuxs3bqVtC8yVQEC6RtoCSQSUhbeAUoo/GQ0nYGBAa5evcrExARerxev10tKSgq9vb2cOXOGlpYWhoeH1WSc5ORkPvroI/r7+xme03Jswooc5SM5GtrA4GB4TSMjIxQXF3MktP2Lrjzz1vLFnelfDedRUlLCpUuX0Ol0KIqCy+UiGAwuuTEJBoPqHNnV1gXfrBgvFuL58eG1ig3D7YkPR+p+09PTSUpKIi8vD0mSVAGOTMkyGo0YDAZiYmLUSVnRBofo9Xr1PbXb7ej1etU1m56ervY5zszMVEcjRpKLHnjgAXXGdMTTMz8Lem5uThW3zz//nOLiYqqqqtRsaAiLucvlUsW3srISv9/P8PAw77//PgUFBaSmpqpzryNrm56eRlEUtmzZQktLC0VFRXT5TyHHOmFe4wgkUGSJwcRjpKamMjs7S2xsLF1dXbjdbrKzs2lqalKt2NnZWcrKymhvb1dvHCIzjyGcgX7kyBGam5tpaWlhYmICt9uNVquloqKClJSUcP5ERWO4B8g8a07RSszaDeTEvonJZCIYDKIoijru9NixY5w9e5aTJ0/y0UcfIUkSfr9f/X599NFHvPfee3TE//iLvS39bl72/xHJyck88MADxMbGUlFRgclkUm/6IzdSExMTxMTEYDQaCYVCC1zoNxLi61nBEdLS0tTRq8vFhpdDiPHt5Z4Q4flWsN/vV5Ndlju2vr4ek8m0wPodHh5Ws6N3795NWVkZDocDk8nEuXPnKC4uRptaHP2cSAwHY0hKSlLvnueTlZXF3NzcAnGJi4ujqKgIv9+PVqvFG5NC1CavgDNkICMnj9nZWbVxgksTu9zhDPpN5OTkMDw8zLp16+jr6yMUCqklWNG4me5YEW5GjOcL8eL48FpZw3Br8eH6+no18xlQ64EjApydnU1vby+SJJGXl0dzc7Pqpl4cD45gNpvVzN4zZ86QnZ2t3uTt27dPvX71er3apzkUCrF582a17tXpdJKXl7dAgOc3/pienmZ6ehq73c7c3Bzr1q1TZ23Pzs6q4mswGJibm+Ott94iJiaGrKwskpOT2bJlC729vVy7dg2bzcbevXtpa2sjLS2NTZs2MTc3h8FgwKX0hxtuLELSKEgJ08zMzKh90iPrTkn5/7P339Fx3fl9P/y6d3oDZgYY9F4JsIC9U6QoiSrUarW7sna1u97s2hvbcWwnsZ1f4iRO/EvO48eJu+Mnju3EXnt7sXZXXSQlkWIvIEEQjeiD3gbTe7nPH8P7FSqLOrV4n6OjQ+DOxS1z7/v7ae93AVu3biUajYprqqre1dXVCXUtr9dLYWEhTU1N5ObmcvnyZSF/mUqlsNlsoo69fv16IgWarInE0mNJK2gcYUwmk2jq1Gg0IvUai8XEotVisYhnXZ1MKCoqIpWTXrZfgbwkO3fuZGxsjM2bN9Pa2kogEBAGKidOnABg06ZNVFRUkEwmKS4u5vLly3dNxHeKgiGbkk4mkxQWFt5TNLwQa2T8/uATURNWo2B1tEjIAS6BWvs1GAyi3jU1NcXQ0BDJZJIDBw7w5ptvAlkB/OnpaSKRCAcOHMgad4fHgOVfbokMZbKfSCSCw+HA6XQKLWcVTU1NgvzVFHQ6nSYcDtPZ2UlRvQ4NlYvSy1kolBiSVJeXMu4e5Nlnn+WVV16hRBfDm1hZS7jRliQWS1NSUsKlS5coKioSSkQLkUwmiUajFBUV3bYWfLe415rx0hqxWh/+KGvDcO/1Yb/fT3t7O+vWrcPlcol54IqKikUErCqSORwOkX6+3f69Xq8QElF1o2OxGMFgkPr6egKBADU1NVy/fp0TJ07g9/t55JFHkGWZ/v5+KioqhDGDx+MRJvd6vV74B2cyGU6cOMGjjz7KSy+9xFNPPcWlS5eQJAmdTseePXsEYV++fFmoYOn1erZu3crMzAznzp1jbm6Ompoa9Ho9L774IiUlJWzevJmOjg4ymQxvv/02CasFmld4SWck8OQRDoeFTGZNTQ3d3d1CuzoUCjExMUE6nWb//v20tbURDof5zGc+w49//GMcDgfRaJShoSGeeOIJAoEAJ0+eBBB+zQUFBcInPDKh4ClTlhGxopHQhLKZMbUpbGxsDJPJRCgUoqenh8OHD4sFTigU4tq1a6TTaTweTzbTNa8lbkuyEqRpI1f7r1JYWIjJZBLP3s2bN9mxYwdHjhzhtddeY2BggLy8rLvZ8PAwubm5jIyMYLPZxFRDdXU1Q0NDiwQ97iYKVqHe/7utDa+GtZrxe8N9HwkvjIJVIll68xfO/ebm5lJcXMzU1BTnz5/H5/NRWFjIjh07xBjTxMQEbW1tohFiaGgIt9tNrSXB4bww8hJ1dgWZrxaMMzAwwMjICOPj41y9epXBwUGGh4eF5vP69esZHx/n4sWLuN1uJiYm2LhxI+l0mkqnmWeKvEiL9p3Vv/61ai/nz58jnU7T1dVFQUEB/21T6FY6evH2EvB7G0K0t7fT0tJCKBTCZrOt+IDNzc2h1WqXiTm8V9xLZLwwIl5YH/4oo+F7qQ8vjH5dLpfoslet6lQCjsfjBAIBMpkMLpdrURS8Wj14YGCAuro6cnJy8Pv9HDhwgJdffpnDhw+LFLOavpybm6O8vByXy0UwGKSlpYWOjg5isRjr1q3j1KlTiyJgVURDrTWfPn0aq9VKZ2cnmzdvFjOs8E6KNxqNsnHjRuLxOJWVlVy7do1EIkEymeShhx5Cr9eL5kPIupFdvXoVjUaT1XcONqL3l2RJV8Wtr0XB5CNYrVb6+/sxGAycPHkSk8nEiRMnhMsRZNPjnZ2dIirv7e3FZrPx0EMPkclkCIfD/OAHP8BsNnPgwAFGRkaYn58nJydHkOjJkyeJdGxDUhTIvPO9lNIK9skYLQ/9I+Xl5Tz88MNcvHiR3t5ezp07R1tbG+vXr0eWZU6dOsVf/dVf8Q//8A+0t7czNzeHzWZDp9OROHfg1rkt1LxWQIFY6+O0trZy/fp1Tp8+zeDgIBaLhfLycq5fvy6i3Uwmg1arZXh4GJvNRl5eHvPz8xgMBvr7+8V2SyPiu4mCVRQVFTE1NfWeouGFWIuM3x3uexJWo+D5+XnMZvOyeeBwOMzAwICo/Y6MjNDZ2YnP5xOr/OLi4kVau21tbTQ1NYmuYkVRqK2tRavV8hvm8/xSk4TxFl9V2+D7D8G/O7qRZ599FkmS6O7uFp2NXq+Xjo4OLl26xNWrV8UqVnVImpycZOfOnVy/fp1vPunk1xuiGKWsz2exWeLPd8Zomj9PMpnEZrPR399PYWEhvutv8Mvak5glNfWl4NQr/L/2s2hDM6JrtL6+XoyxLEUqlUKr1b5rjeg74W7JeCERq/Xhj7I2DHeuDy+s/W7btk1EtKoudFtbmyBgdRGoKAqVlZX4/f5FUfBq9WBVL9rpdOL1ekW6N5lMUlZWhkajEYuJL3zhC5jNZs6cOSOiWHXhderUKcrKyhaloMPhMD6fD4/HI0olR44cEWnnoaEhampqaG9v54UXXuDw4cNotVrhmpRMJtm1axejo6OUlpYyNzfH9PS0cPHKSlROsnXrVpqamkilUqSSKeznvoh9frsgYmOshPqB38Dfr6esrEx0UkM2E5BMJsUcPcDGjRvp6upiaGiI3Nxcent7eeqpp5Blmc9//vPY7Xbi8Tjf/OY3OXHiBBs2bMBgMDA1NcX4+DhTU1MAjCX2UPmdCvLGsmYpUkah/EaEsrZf5kZ3P4qi4PF4OHDgAAcPHhQ9Hm+//TYvvPACHR0domu7trYWo9EoJg6UWBMNbU+gVScBFQVDVOao/z/z+Z/7dTZv3ozH42Fubk6MNt68eZNIJMKVK1eArNzqzMwMFRUVootalmUmJiaoqKhgfHxcfIdVIr5+/fpdR8HwTkpakqR3VRteDWtkfG+4r9PRahTsdDqZnZ1dVPNUFIWpqSlhdTY1NUVHRwd5eXli3EIV4kin07S1tTE2lvV03b9/P7FYjFAoRElJCUajkZGREbq7u/n044/yaeDP9kIoCU7DO/0X6XSaxsZGqqqquHHjBl1dXTQ2NrJr1y6mpqZIp9PIsozD4aCjowOn00lZWRkVFRW0traipBL8+SEzjyffYCYQ4+iDe8lzOug1N3Pq1ClMJhPV1dWcO3cOrVbLr+1y8RtyL/3zccJ+H9V5JvLyspKZalp048aNXLlyhUQiscwAIBwOU1JSIhpXPijcTZpaTT1PTEyI+vAHqSmtRsNLNaUXoqGhgYsXLy7Tl1Y1n/ft27conazqQnd2dgoChiwx2+12JElCq9XS1dXFrl27xOdWqwcvxOzsLFarlYcffpjTp0/T0NDA6dOnhSQkwJYtW3jzzTcZHR0llUpRWlrKhQsX2LFjh7BvVP9OLBbjypUryLJMPB7nueeeE+Q3NTWF1Wrl9ddfx+l08uCDD3LhwgWh+qSmPl955RWamprQaDRMTEwIhSs1Wg6Hw+Tl5Qmv42g0yrbmbURHGmh9sQWtAeqqN7F3z17OzpwVXc8dHR1CyrOqqorp6WkRDft8PpEZuHr1KhUVFaTTaTFuePjwYV5//XVGRkbQ6XSLMh6SJInPGgwGJpTPcER3hLf+5q9JyVZSReuo2b6d48ePo9fr6ejoIJ1Oi27r6upq5ubmSKfTPPjgg4TDYU6dOoWiKOh0OjKZDDk5ORQWFnJoyy8Qf30/+x6oRpYMmM2VzIZnuXLlCk1NTezatYtAIMBPfvITMpkMjz32GIFAgI6ODjQaDceOHeOxxx5jYGCA2tpaampq8Pl8dHd309XVJRr++vv7qayspLq6mkuXLi0y0bgbyLJMOp2msLBQLLzeL6yWpl7DYtzXkbAaBavRh4pAICBqKoBIO9fU1LBlyxYAOjs7SaVSTE5O0traiizLHDp0CMjWkPLy8oSMoErAqvgFgEEDdl2a6ekp3G63SC/b7XYqKyt58skn+dKXvkQ4HOanP/0p8/PzYrUsSRKbNm0ik8kIj9f6+nq++93vZruE00nKHCYy6ZQQWlBfAD09PdhsNr72ta9htVrp7u6m2JBid3MVo6OjzM7O4nK5mJ+fR5IkZFlm8+bNXL9+fdn1U+uLH0QUvBLuFBmrEXEgECCZTGI2mz/SaBhYRGCrRb/wji602+1eRMAejydrb3eLJJZGwathYT1YvU8lJSWYTCZmZmZobW3li1/8othPMBgknU5TW1tLOp3G7XZz4cIF9u7di8vlori4mPb2dnw+H+fOnWNwcFC4H7W0tCxqJjx79izd3d3s3bsXSZJ44403cDqdVFRUoNFoKCkpobOzE7vdztzcnFjwFhYWiga/TCZDYWEhNpuNiYkJ4vG46NVQFCXrFRw3UF6WTdUXFxdTUFAgBHRUd6OZmRnsdjupVEqcp2rbqSgKer2e4eFh4vE4b7/9Nv/0T/9EfX09drsdv98PIBY/KgGrnetarZZLly6RNFQTSphxu908//zzBINBfD4ftbW1WK1WampqKCkpwePxsHHjRtatW8cbb7zB1atXWbduHbm5uRQUFIjzTyaTHDt2jJmZGZIxF+GgmcHBrChJaWmp6EjPycnhK1/5Cp/97Gc5duwY586dE9Kjer2e733vewwMDPDGG29kbQntdkpLS6moqGBoaEjMgKsRvsvlwm6333F8aSHUlPT7HQ0vxNLIeHJy8n3/G/cz7ttIWI2CE4mEqAMrisLIyAgGgwGr1cr169ex2Wzs3buX2dlZ0uk0w8PDTE1NUVZWhk6no7e3l5aWFsLhMNeuXQOgqqpKpHQWEnA6nWZ2dlaknWRZxuVyrSqJCfDAAw8wPT3NpUuXhJ6tGkmUlpaKppaqqir6+vooLi6mp6eHUChEJBJhdnaWcDgsXmzpdJo9e/YQDoeFvi5k7Q61Wi1+v59YLMaOHTuIRCL09vbS0NAgxAwWRsMWi+V9rQXfLW4XGatRr8/nY2JigpycnI80Glbrw6+88grFxcXLol94R21NJVqVgOPxOMFgUKShgWVR8O3qwer35PLlyzzwwAO43W5OnDhBdXU14XAYrVZLfn4+s7OzzM7O4vP5cDqd1NTUcPHiRYqLi8X9rq2t5fjx48zNzeH3+zl48CADAwOkUimam5sBROezVqulurqat956i/z8fD73uc+h0+kYGxvD7/fz05/+lI0bNwoHpTNnziDLMnNzc9TV1ZGbm8vw8DCPPvooV69eJRgMkpeXh9FoxGw2C/ciyD4DHR0dVFVV4fF4yGQywtQimUwyMzODJEkia+J0OmlsbKS7u5svf/nL/PCHP8Tv9xOPxzGbzSKKBGhsbGRwcJBUKkU6ncbv92OxWLBarYyMjJBMJsUoFSC039XRo76+PhobGykoKCASiaDRaLh8+TJarZYvfOELvPnmm4yMjNDc3CxSy4WFhVRWVnLx4kWcTidnz55FlmWhZKd2zi+ESsZqZJybm8v69eupqanB7XZjsVh48cUXsVqtFBQUkEgk2LJlC9PT05w7d05EyZIkUVNTs8j04U5QU9LABxINL4RKxurkweTk5Io9PD9ruG8jYdWRRa0Dq9GvLMsMDQ3h8/lobm4mPz+f4eFhBgYGhBTexo0bmZqaYnp6mpqaGubn50mn00JUQcXw8LDwZ10a6arG5qsRsBodDA0NYbPZeOqpp/j85z+P1+vlRz/6Ee3t7eh0Og4ePIjJZCIWi9HY2Mj3vvc9YW9XWVnJ8PAwRqORubk5ZFnmwIEDXL58mZGREZFezM/Pp6KiAlmW8fv95OTkiNEfyBL0StFwOp3+0KLglbBaZKxGxFqtlnA4/JFGw2rnsyrEslIE63a78fv9iwhYrQPn5uZitVrFAmlpFHynerD6/RsbGxN64+qLPBqNCpLNy8tjcnKS6elpBgYGeOqpp0SN+NKlS6Khr66uDp1OR39/P9PT0xw5coTx8XGOHz/OD3/4Q1GDnpmZ4bHHHqO2tparV69y8eJFEVkePXqUpqYmMpkM165dE53slZWVBINBxsfH2bZtm2hOPHjwoBDV8Hg8lJeXC4cjWZaJRLJe3FqtFofDQV1dnVCMmpubo7m5WRCl3W7nm9/8Jg888AA2m41du3YxPz9PKBQSEeGGDRvYv38/Y2NjWCwWjhw5Ij4fDoeFn3htbS1PPfUUdrsdk8kkDBbMZjPRaJQnn3yS6elphoeH6ejoYGJigl27dtHY2Mhrr72Gz+fj4YcfFgSsRrGzs7OMjY3R0NDAk08+yRNPPMGhQ4dobGykq6uL48ePc/z4cU6ePClq3ZAl4+eeew6AN998k7Nnz1JVVUU8HhdiHlZr1t7w1VdfZWJigp07dzI3N8fk5CROp5Px8XEsFstdCXqoUFPSH2Q0vBCqQ5zT6VyrGQOSchdnHwgEhIbxSi+MDwOBBPxDL1yZhRKLwkOGYepysx6gIyMjhEIh4bdbVlbGycEA3x6QiaLnkXItz9ZC0DsnOg4LCwvR6XSilV5Np73++uts3LgRj8fD2NgYjz/++G0j3aVQ5TIjkQiFhYWrtv2fOnWK2dlZGhoahIqWzWbjb9/s5EXtXuZSBhqsCR7zv45Tyb7gn3rqKYaHh0mn01y9epXyikqupUt5dVyLrKTZb55iX16CsrJSkWLKZDKC0AZmQ1wxbOJ07ywFePmNLRZ2NlWueHwfBcLhsBAQKCwsFC90TTpG+fhJMv3nSFvyyXnsX0HRutvuK5lM8sorr/DEE0/ctlHlxuWz5J3875T4u8FghSO/Dbu+BLxT+92yZQuyLHPx4kU2FJqwXPse+Mahcjtz9Ue5OZI1J1jq11tYWMj4+LhIw54/f55du3YtIuGFpZSwr522kf+XiH4OXSCPSudvEkvmCUWoPXv2YDAYyM3NJRKNcKzr79A3jGediEI7cCW2MjkxyZEjR4Bsg6EqBbl9czHnO36bmGUGbTgHT99+zLkbaWho4MaNG5jNZvR6vZiBNZlMxONxnE4nGzZsEB69hw4dwuFwMDY2RiwW4+zZsxw8eJDJyUkCgQA2mw2NRoNerxe+1GVlZQwMDBAKhYRgSG9vL5Ik8eijj+Lz+aioqCAWi4nslboA8SfG0T95BsU+h5TRo+/aiXVoN7t37xbWhLFYtrkqNzeXnRU5yBf+gbR3gklTJb2OXSTl7EJl/fr1dHZ2AtlZ9Pw8G0g/IFkwgCatwxl/gpn59cRiMYxGoygDKIrCjh07qGh28pOeP0DOiWCOlrEj58v0drgFAaud2JWVlVy6dGlR+WpoaIjKyspF914db1KPX6fTsX79es6dO8cTTzxBNBoVNePa2lqi0SjFxcU0NDbQ4XmdKfM5/EEf0mgVxYldFBYUYTAYkCSJdDqNoihEo1EaN1VxkxeZTHRgyRTSYvw8NorFcSQSCWZnZyktLUVRlA80Goblz2YsFmNiYmLZaFOaBAMcZ4Ir6LHSwFHyWf25DzBGDz8lzAwummjgSfR8eF7hS+HxeMjPzxeB0Wq4L0h4PAx7fwqjIZAlUEdxvr0/Sk24i1gshs1mIzc3F4DvTeXxO+02NFL21NKKxKacGH9Sdh1dJk5ZWRklJSXodDpmZ2cZGhoS84PXr19n06ZN9Pb2LnqI7oS7Jd+lWEjG35jI509Hihf9XlIU/oPpDb7+QNYlp7i4mPn5eaZmZvmlSzYuJMvRkO3qTiPz5ZJ5/uf+rK+r2+1mbGyMYDDIhLaQfzXSQjQtAwoKElYdnPqUxJaVdU0+MiwkY3M6jP7PD2Pwj4CUTZtLEvCL34Htz666j7siYf8U/Kc6SCxe+Sc2fpqLLb8l5n5VZK6/AH/1WSQpq5OiZDLEzS7mv/4SJet3iO3URqlAIEB5ebmIgoeHh2lpaVn0t1QSnh77Di+7/oi0TgIlq2lhiGTIO/EZCkoeE1HW8PAwlVWVnOK/0suLSErWtxc5g9Hdwr70f2BifAKj0UhLSwuSJHH+7b9kaNc/EjfLt1SiQJNUaL78Obr7SkSU39PTQ2lpKXV1dUIyErIR2unTp9FoNKIRKicnh9dff509e/bQ0dHBwYMHuXHjhpCDDQQCHD16lDNnzuBwOPB4PEQiEex2O+Xl5bz11lsA7N27l6qqbD+DTqcTqeodO3bQOnycK5W/k73nt66XAtjCdYS/+xCJRALI1jUNBgO66z/mkZG/F1tLZPDrXfyk4d9idJWTTCZxOp0MDw+jkWK4Hv0WnloNUjr7nlA0EsVv2AnPfl00K1ZXV2OxWBiIvU1g7w9uqX1JICnIcQuNN/8f1pXsIBgMkkgkaGho4PLly8LxSP0uqi5St0MoFOLq1at4vV5h/djS0oJGo+EnP/kJqVSKnNwc2HOO+ZK3kZTs86BIaVzBXehPP040EhP19UgkQkQ7TU/DfyepCyDdEkqRJA2P8xeU8s53dnh4WDS2Tk1NrTrW+H5gtWdzIRm7Suy8LP0qs3Qices8SbOXf8sGPr9sn25Oc4x/izrzppDBSiGf5u+wULBs+w8Dd0vC90U6+t9fzBKxAqSVLKmmFfjnZ7UEIjFBqpWVlehdVfynGzZA3S77xbsRMPCTYCVVVVVoNBqmp6dFw8iGDRuoqqqitLQUyM433i0BL00719TU3NOX9+DBgzzzzDNMe7z8+YgqnymJ/xRJ4v9Kj1BVVUVhYSETExOEw2FOh1xcSGYjrzQy6Vu38lsTTi7MaRgZGUGSJNF9/QdjNUTTEhkkMsgoSERS8Eurj8t+ZFiYplZe/D0MgfHs1VDSSEoaMhn4x1+E+HtMm/3dzy8jYADdjZ+yr8Ky2CA9lUD+h19AUjJImTRk0kgoGKIeSi7+T7GZWgfWaDQiDQ0smgtWodaDFSXDSUOWgBVZygpIyBIJk0xm80vLfILHOE8vLwLZFzBydhEWq7zOzfAJUSuenJxkZmYGf/33SJhkuLVvRZZI6ySG6n9AUVHW0GFgYICtW7fyyCOPCDEZyH6/3377bYqLi4lEIhQXF6PT6WhtbSU/P5/BwUEOHDhATk4OiqIIG82jR48KQg0Gg8IBLBwOi+csnU6Tn5+PLMuiZ2Fhg1hX1R9n7/s7jwMAQUs/iZzs2J3qcDYx1Mfh8e8goSCTQb6lwJ6T8LDHc0yMVXk8HioqKqjfeBZPTfaZUTSSEO2YPOwlHb/OoUOHhCjHwFA/wa0vgpQGObvgQVLI6CPM1b0oXI1MJhOyLIvIXtyvW0Ydd4LVahWTGw8++CDbt2+no6ND1PdLS0vxG3uZL3lb3Hvl1ojirO0iTU8Y+exnPwtkXa5GR0fpy/tHkpoAoKBIGRQpQ4YUJ/kvZHhH2UtNSQPv29zwvWJhA9dp718xq3QBWfJVbh3ref6YCIvLU2mSnOT3xHbZbRXCzHKJv/ywT+OecU+NWclkcpF02oeF54e1y/SaFSQCGT1B1was1mznpMfj4ftDBtKKlaWajgrw6oyVXyzuFw+62qyhjj+oEUxJSQkdHR13PC61izcnJ2eR3N67QatSs6JuNEhMRRVOnDqDYcGvfzzeiExm2Wc0KHyrI8y/Kn2n1jkWTNOftC/bc1qRuDIHl26OUmC4jdTeR4jym69miXcRFIiHcB/7BsHqgyt+Tp35Vme2V0Jz39sL3+2LMPi3v87Z+l8S/y709/BY2LNsW0lJk7z8fb7JIeCd2Wu15qkeSzqdpru7e9Fn1W0shn78X1p+jIpGYqoqwz98489IZ3LEvjL7TkGjlCWERTuUGNWcZrJLK9yXNHKA+FfTy85SkSWChTo082cJxWvJZDK0trbS3t4ujlvVFTcYDIyOjpJMJvnWt74FZOvR2QWEIurqan0zEAjw3e9+l1AohMlkEmpMsVhMbK8Ksbz88stANiWqXidV8Sv6hbllN0ft4dHsaUV5+XHR51EW7kOXji27hjIZKmYv8lbR59Dr9YRCISRJIt48CCxvSJQUyClu5erVLUSj0ew0g8uDYllBxlTOMGu+wqW3LiApGkKhEH19fUxNTfHGG2+I+xWNRhkcHFz++RWgJiZPnTol0rLq9zedTiPXuElnVrj3GZlLcz9g/Ga23qrX60krSWKFN7MntfivEGaGjolT5CSyaedUKkVbW5vIdPr9fnp6eu6pFHe3UMl+ZGRk1abQ6eLzLBYiunXkSobO0KtUxx8XP5vVthO3+5dvS5oh5U32p373/Tnwe8TdcuU9kfBbb721YifnB4106iirHWpHRwfoPeLf/ZFKoGXFbdXRjaVY2BwB3DOZ3uts3kqYiZYCq8tGeud96OV3hO8TieWewFkoQuJPHF/acNu/3dnZyaRmtf19tChOpVZ4VWYxOTnJdGbgtp+/3b1sUpTV5LfR6/RilATAml69tiRJ0nsq0+jlGZa/Qt6B0+EkQ674d8BkIppNiC89EMxmMzkLdNNltNxuIMSWY8OQWf3Y76Urfem7Qf23zWZb9P/bbbsQwWU/eQcGgwHngplTp2YcVrnVql3oQqTk1TtyDQYDGYNBNBAlczPM3+ZYQqEw0i3LJLWmvlR7/F61yFdrjtLpdCRXuvcoJOIJoZcNoCw0ylgBvb296PyLr7KqlfBh4HaBTswRA/3Kv+sf6GfCfVb8O5Hnhv0rb5tKp3nllVfey2G+a0Qikbva7p5I+MEHH/xIasKfe1vm+4PKomhYQsFpgH/9qV3oF7ylN0fgr3+QTVsvhAx8bZOVJ1qeALLd1eq4wtjYGDdv3uSBBx7g+PHjPPLII8vqiOoKXnVGei+LkUwmI5o4IPsS/7WiIv78deWWit7CF4RCoVHh6ScfW7SPyJDE2yeXR09pZP7NoSr2Fi5uuPr/vZChbV5adA01ksJmp8KXP/XQuz6XDxpy8DmUs3+bTQHfggKkZAPJ2v00V9RiNptxuVyLRh2SyeSq91KFNHAAbr654u+sn/nPlMStIqK2VJajdPwJhBdLiyqShpnSA5jNZiEBqtVqqaqqwmKxEAgEGBkZWdZ5Dwh1pPl5Dbbp7xFyaVAWkIOUVnAOZvD6QavNGgQYDAZ04/VEq1aQ1JQzKEOVInqVZZl5X5q8/jTz1fIinWQpo2CdTRGK1SDLKVpaWigvL2diYoJAIMDw8DBbtmwR3bK9vb1UVFTQ3t7Onj17mJycFPZ6bW1t9Pf3k5eXh8lkEp66LpcLtzvrbR0MBiktLcXtdrNr1y6+9a1vodPp+Pzns/U91aNYVdxKJBJowiawRBeZEamXXrmwk3A4TDye7fGYd7WQ0hjRpGOLnp6MJDNd9oDokTAajSSTSfIGy/BULVeSUySIeXYTS2aj6vr6ekJhO76IjYwptCiqlBSZcmU/Dz3+JGNjY5SUlPDWW2/x0EPZ5ymZTN7R03wp7vS9nVJKeFW+sPyDsoJ2vJ59+/aJ3phgMMhbodfwWK8tdq5SJMy4+NS+ryIvWOKqVpBqdKoK5rzfgddq5xiPx5mZmcmO/PEwvXyHpYsNCZk9JZ8nk5ON0CVJIsexlxfSPyYpBxebyikaauSHeOCJJ97X479bqJnVO+GeSFin0921JNr7if+xG85MZxuzNJKqqAx/tMGDxbi4q6gyF/5sD/z6ORY1Zm13SfxmiwadTkM8HiedTuNwOBgZGaG3t5fHHntMpA8WnufShqt3M9KTyWQYHh4WN0WSJEpLS6mvX+zK9D92wm9fXPxZGfjd4i6mpnIXdd8+WwfPu+FHQ6C9dZ4pReLnS7wcKMldloL924Pw4EsQTGYXMBkFzBqFvz0oo9N9jFsDPv1fSXcdQ/YMIsmaW3K8Cpeb/wUDo1OkZIOQKpRlGZPJJKRB4Q7f2V/8tmjMUh91CRgr2E35pgdxLtjU5/NxqflfsuPK72dThhJISoa0rRD95/8I42RAjNuUl5czMjIihCTWrVtHPB7HarUyNDTEzMwMiURCpK41Gi3mMw8QffIMaR2iMUsXTRM/9xCpdEqcWyqVItqXj6awmXRdF2Ru3Ts5g9S3Dpu/GY01K5cai8XQaDTEzj6IruhNEmbNosYs3cm9+ENBZFmmvb2dgYEBrFYr8/PzHDp0iIGBAdLptNDEnp2dpaSkBMOtKDEvL4/W1lamp6epqqoSCxZV0zqVSiFJEgaDQcjC5ufn43a7hc7zyZMnCYfD+P1+bDYb8XhcNFyZT32O6BPf4tblFlAmi1DmnITSIfLy8kilUlicBbxZ9iUedv89SNllkqSkCejzaa/8DJ5bDXDhcDg7+TDwEM7KbzBfp13UmFV9vhh7+RE6OzvZsGEDU1NTyLLMBs+v01H+hyi3SiOKpGCUHOyVfhOdrEOWZbRarZAMhSypLe2Ivlus9L31er3E5x00VT9Lt/yDRQ1L1cpDlOY+LQxompqaKCoq4hHn7/JTfpGoMo+E2lEok9/xDIZNi1PNpaWlokta/bcqD/pBQKfTkU6nmZ6eRlEUDAYDVVVVWf2F6FeYil8kYOxf1Hy4zvsL5JsrsBZkM1OJRAK3280e/e9w2vyfQcl+BxVJwSK52C39Bjr5w+cs9fzuBvdFdzRkR5T+sReuzEGpGX5hHeRlfIRCoRWJ8eoc/K+rQQJJmU/VW3i2NqtyBdDf309tbS2jo6OLlLAWdu1ptdp31e0Mq5Pu0pTYSjg7Bb9zCSYisMEBf74XKm3Z2mYsFhOKX5DVnn95BH7UG0cjw5fXGThQkGJwcID6+vplD/90BP7vTeiez6BM9/Cvt9toLsv7SEoMd4tMJsPwzU5qZs/B4Hn8ipHM7q9y05+tY/X29lJTU4PBYBCzqqq0YEdHB48//vgyuc5FiASY/z9fRzd4moSs52reQwwX7MFut/NzP/dzYjPVjGGm8zy5nc9jTngZzuSR3P4cnnCS8vJy7Ha7EICorq4mGo0yPDwsbPEURSEvL49kMilmS9WREIPBQCbRh7H4GKZiBeZsaGNfYHY+O8Kh1pnT6TQGgwG/34epwQNVw2g0GpJ9pVRpDzDQn03Pq7VS1fry0Yc30Dvx+6TsXrTBHOLTjxGMFhAMBsnNzRWp13Q6zfbt25mYmMDr9SLLMrW1tczNzeHxePj0pz/N2bNnOXDgAK2trUxNTVFVVUVBQQG9vb0kk0nq6+vp7OykoqKC6elpmpqaGB8fx+12YzKZmJ6eJhqNoigK1dXVyLJMNBpldHQUQEwBTE9Po5hC8NAJyJtHyuipmP8086eyTWImk4lIJEJzczNtbW1otVrqrCka5s6iCXsYN5QzUvIAOfnFTExMiC5tjUZDIBDgwUN7SSS/xaR8kUxMwhZ6iFhqL9FoVNxDnU7HunXrsNvtBJnkkv8fiWnnKLdsppGnMJBNsbvdbqampkRX9N12RC/FSp3D6vvEZrNlF0QoTHCFQU6gkKaSB6hgP8FAiOHhYSKRCJOTkyiKwuHDhzHZZW7yIjOpbtJ+MztzvsxYjx+fz8eBAwcW/f2FXdLwwXRKh0Ih3njjDTZs2CDGEdV3laIojI+PMz4+TkFRHlOWc4Rze0lFNBQFH2Bz2TtZu6mpKeLxOBUVFUiSRIAxLge+SUwzT6VlOw0cXRtR+jDg861OxOpDvTCCnJqawmKx4PV6l0lRqg/Atm3bSCQSd02+S0kXsh7Cd0O694LZ2Vl6enoWOT7BOzVptYaZSqUYGFiZiOGd83z88cdxu93LIvKPE4aGhsSYD2SbOUpLS+nq6hL2fpcuXcJoNLJlyxampqbIycmhrq6O1157jQ0bNqDRaESEvJI6z6VLl5ieniYQCOByuejv76ehoQGv18vP/dzPCQI2Go3cvHlTaD1PTEzgcrnYvXs3XV1deDwecQ8mJiZEJ25jYyNGo5GBgQE8Hg+5ubmMjY0JXWWj0UhDQ4PQZ37uuefo7+8XI0PXrl1DURSMRiNGo5FoNEosFmPbtm2YTCYGBgZENFlaWipUpuLxuCD+UCjE1q1bGR0dFXOwwWCQZDIpaqbDw8MUFxeLed/a2lpkWaazs5O5uTkeeughAoEAdXV19Pf3MzU1xeOPP87FixfZs2cPZ8+exev1UlNTI66nz+fDbrfjcrnQ6/Ui5RyLxTAYDOTn54u6vc1mI5FIUFxczPj4uJgG0Gq1otwQDoeF7/Hc3Bx2u53p6Wlyc3NFo1hhYSG5ubmMjo4SCoVIpVLEYjEymQx5eXlMT0/z1a9+FbfbzfDwMJIkUV5ezsWLF9FqtWzfvp1oNEp/fz+f+cxnFnVsr/ROCYfDRCIRrl69Kt4nK80F3w2WkrDX6xWzx0t9ylUEAgHh4uRyuchkMqIzvbW1lUwmw+HDh7Hb7eJd5XQ6GR0dXUbE6vOlpqTfr7nhWCwmIl71uNRgx+PxiBq46sqlqripmJqaEseklhaKiooW9RnAyvfno8InakTpdrDb7aKueyfE43Hi8fiKBKymnYE7jhplMhkGBwe5fPkyly9fprW1FZPJxI4dO8R/7zcBA7hcLvbs2cO1a9fEl20laLVaamtr6evrEynClaBG6B9mM8a9wOv1ihqrCpfLxezsLOvXr2d+fh6bzcb+/fux2WxcuHABi8VCQUGBqLeWlZVRVVWF1WoVL131ZbAUFosFp9OJTqejr6+P7du3841vfENoQff391NSUiJerKpsqGqVZ7fbiUQiZDIZysvLKSgoIB6P88Ybbwgpxby8POE1PDY2hsFgYN++fYLc8/LyePHFFxkcHCSRSNDf38/hw4dxOBzo9XrMZjOJRIKmpiZCoRAXLmTrg3a7Xbxk1U5kSZIoLCwU6eCuri4mJiaIRqM8/PDDaLVaKioq0Gq1DA0NcfToUbxerxDbaG1tpb+/n3A4zJNPPsno6Cijo6O8+eabDAwMcPToUbq7u6mrq2N8fJz+/n7m5+e5fPkyiUSCkpISGhoahNyrGrU2NjaSSqUIBoMMDw9TU1NDaWkpOp1OjFbl5uYKwZk9e/aI/onCwkJycnJoaWlh27ZtTE9Po9PpiEQiSJLE1q1bkSSJCxcu4PV6KSgoIBAICB/v6elpvva1rzEyMkJPTw8VFRUEAgHOnj3Lnj17xCiWy+USKl53wsLFF2SJVFUDe7dQ3zGpVEo4uC1FIBBgcHCQeDxOTU2NGKmTZVmoa23cuJGHH36YkydP8vzzzwsP6kQiIb4zp0+fFvtUtaRVvBcVrVgsJp45r9dLeXn5osWE+n0yGo1UVlZSUFCARqNZRsCQfe5VRbPJyUnq6uqWEfD9ivtWO3oh1AfgTvN4qiDAQgJeWPNVo/yl6dnVIt0dO3bwYUOr1bJnzx66u7u5du3aovT00u1UIl4tIobsuc7PzxOJRD5WaelMJsP8/Dy1tbWLfq6mM2VZpr6+nqGhIWpra2lsbKS8vJwrV64wMzPDli1bOHPmDFeuXMFut9PU1CTSbOFwWHTJ63Q6cW00Gg2ZTIZ169bR29vL8ePH2bJlCxcuXMBoNGK1WkWKMJ1OC0OO8+fPizRkKpUiHo8zNDREXl4ewWCQgwcPMjMzQ1dXF2azGZvNRldXF3l5eTQ0NNDW1ibG5JxOJ1u3bqWrq4uuri4cDgeSJAnJw4mJCRoaGhgfHyccDosX7+TkJEVFRXg8HmGTKcsyBoNBRMTFxcUYDAZ8Ph/PP/88gCAoSZJ4+eWX2bRpE8FgkPn5eQ4fPsyZM2eIRCK0t7ejKAoaTbanoqGhge9+97tEIhEcDgeFhYXk5+eLSCcQCDAzM0N1dTVbtmwR59fa2ipkSE0mE4WFhWQyGQoKCujr6yMWi1FdXU1PTw+yLKPX67l06ZJ4xvPy8giHw8zMzHD16lWcTmd2bOuWhOuJEyfQ6XRs2rSJjo4O+vr6KCwspK6ujnPnznH48GGOHz+Oy+US2u2qH3EqlcJisQg518HBQRHJ3w6KonDt2jWhpa3Wgt8L3G43NTU1q5KvGvneLkJ1OBwiaty3bx8Wi4Vjx46JyNhqtQqho9OnT3PgwIFFWtIq7kVTemHEazAYKCsrw+v1Eg6Hhde0GhWWl5eL5ykajYpmv5WQTqcZGxujurpa1N4/KbjvI2EVK0XEsbSELyGjKNl0RiqVoqenh0cffXRFkQ2VhDKZDAMDAx96pHsvaGpqoqysjNOnTwvZu6W424i4tLSU8fHxD+pQ3xWWOmOtBIfDQU5OjnDaMZvNPPPMM8zPz3Pu3DkAdu7cSUFBARcvXqSzs1NEilVVVSKSNRoMpPwzJCMBFEXhwIEDYpZRo9Gwfft2XnrpJXJzcykqKsI/P8tUfwehYEC4BZnNZkF+ExMTokRy+PBhpqen8Xq9HDx4kLKyMkZGRpBlGUmSGBsbEy8tm81Gfn4+b7zxBjqdju3bt4sFQUFBAVqtVnyHVbOAZHAebSrKwYPZeelgMEg0GqWpqYnPfOYzhMNh8TKORcNEZkex2yxUVFRQUFDA3Nwc8Xgck8mETqejo6ODhoYGtmzZwluvvUTUM8nu3bsJhUKMjIwwPj6OJEkMDg5SWFjInj172Lp1K9Mz04zN9TMxlU0BV1dXU1RUhMlkQlEUenp6OH36NF6vly9+8YvoSKGEPOh1OhobG+nt7RV13t7eXnQ6HQaDAUVROHLkiHBRymQy1NXVce3aNfLy8ti1axd5eXnEYjF8Ph/bt29HScbounwanVaLTqejoKCAc+fOsX//fnp7e9FoNIyPj9PX18eTTz6Jy+US743t27eLOvrOnTtFRuVO8Hq9ohb8bqNgdbEPCLJZiNUi39tBjYq1Wi2Tk5M8+eSTPPbYY5w8eZLXXnuNvLw8cnJy0Ov1IiKWZZl4Okyc7Cz3naLhhRHv/Pw8JpNJmGCo5RZVb7+iomJZhvFOBDw1NcXk5CTFxcWi0/6ThPu+JrwUPp+P0fkIfzBUIsaamu0ZfiWvj4bUMEeOHFnWcJXJZBgaGmJubo6pqSmKioqoqKj4yIn2bpBKpTh9+jRFRUViJb7SNgtrxCs1f0QiEebn5z9SQwcVXq9XqCmthIV1q0wmQ0dHB4WFhZhMJqFWdOzYMaLRKA6Hg5aWFnJzc5mdnaW/v5+cnByampqQZZme5/+Cde1/A5OdZCSZ2YrD3Fj/dQLpbOfm3NwczzzzDBcuXGBucoxHIycpuPkTtJkEKVsxHXVfwF18kI0bN5LJZISbUUFBAbIsMzw8jNlsxunM9lrfvHkTnU7Hxo0bGRkZwWazie9dTk4OBoOBoqIiNBoNubm5dHR04HK5hI52eXk5wWAQR2yKLTf/Ly7PDQA8rhaO538ar6EIWZaxWq0UFhayc+dOfvLjH/Ow3EnRtb9HDs+RkI0MVD/FjYqnSabf8Rh++umnefnll8l43Bya/BGuyYtIKEybKjlf+RyJ0i1UV1fjdruF7aDBYGA+/yLxTWdQzEFIadD1t1A9+3kS0TSBQECUeQ4dOoRZiaL50W9SNnkWmQyhnErOl/0cg8as+5Isy6RSKXw+HxqNhvLychRFQZIkkskkGzdu5NixY5SVlXHo0CFOnz5Nbm5uVhu9q52Nvf9I0/x5NEqKgD6PnuavcVWqFTVlk8kksgEHDhzA7/fj8XgIBAI88sgjQLb3YmZmhvXr1/P6668vKlstrTmGw2GCwSDXr1/n0Ucffde1YLX2W1JSwrFjxxY9m0trvu8Waq3YarXicrmIRCIiMm5paWF8fJy0Pkhix0nc8kmQFPJoYC+/TZGyZVE0rEa8mUxG9Bio55yXl7fIf3spFr5/VDvZlQhY7XxWa79TU1PY7XYSiQTxeHzFa3E/1oQ/cSScUWDbj1Lc8GnETKx0S2v65QMeGgwBCgoKmJ6eXjTYXlZWRn5+/l2J/n/c4PP5GBwcRJKkVdPTC4k4fWuAfel5jo2N4XQ6P9K0tLogWpqGXgi1e7WoKCvz6fV6mZiYoKqqinQ6jc/no7i4mFdeeYVoNEp5eTk2m01Yu6lkXBhxU/3DL2Xnfm89BookE7TXoflPrXzr29/GaDQSCoXYtm0blSf+A0WjJ8WcsDoqd6bp10lt/qwwd5+YmMBqteL3+9mwYQPr169HlmV++MMfYjQaKSwsFONu3/nOdygqKqK3t5cNGzaIiNbj8XD58mXRAZpKpUS60KJEcf3lAfTpKPKtkYwMMgmNiTcP/S9mowoPPfQQbrebyclJ6kdepuXmNxZdQwXor/kM4Uf/s6g/h0IhDBqFT1/9HawJLzLqviXSkpZju/+ItLNKEI+iKJg3ThHd++I7FyN7EdG6G4m+nJVgdDgc2Xq308GOE7+GM+xGUkdJbj2dP23695ibHhBSsqoHcEtLCw0NDdy8eZOJiQlmZmbIz8+nuLhYNPCoFoXRP3qEikAH8pL780rNvyRa9yAFBQXEYjEcDgcVFRVigaTRaETkrb68VbONM2fOsGnTJpGSXvqSV2uUapR2rx3RSzufFxJUNBp9X8h3KZY2e6lknEwnCB75e1IWj5BCBRkZDZ/lmwTdWTvGRCJBOp3Gbrcjy/IdSXcp1HM8fPgws7OzKxLw0s5nyKakx8fHqaioYHBwcMXP3Y8k/IlJR6s4OQFt3sUylwoSEgr/43r2wnR3d2M2mz9W6eX3ipqamtump+8mNf1xSEvfTRpatX5U4XA4MJlMjI6OYrVasdvtIr345JNPMj4+TiAQ4PTp08JycM+ePRR3fDv7ul6wDpWUDDneXrp/8r/Iy8tDq9UiyzKB4RuLCBhujVwi0Tz0T0I4wufzUVRUxPr163nuuedwOBwEAgF+8IMfANDQ0EBFRQWVlZX4fD50Ot0iMpieniadTnP58mWCwSB2u52ioiLy8vKYmJigra0N38t/giEVEQQMWXlGQzrC5shVqqqqOHv2LGVlZdTVVNM4+PyyaygBNcMvMdLbSSQSoaysjIKCArZLw+QkPIKAs/tW0JCmavhlkSmy2+3U1tYSazq7mICzF5FkZQ/5lUY2bNggnH00/afJCw0JAs4eR/Z6bpk5zuTkpKhlNzc3YzQa2b59+6IXmNFopKqqiq1btwpP8K6uLq68+I9UBW4IAlbPMYPEgdDbSJIk/KnVmWWHwyE8tdXZZ1U9r66uju7u7jumpBVFEdmXu9WIVuH1ehkaGqKiomIZyQ4PD99T2vle4HA4qK6uZnR0lNnZWcxmM08//TSbnswlZZtdQMAAGTJKmjdn/gKPx4PP56OmpoYtW7JZkcrKynsi4IWYmppaRqSqj7Nq5bqw9qtmvgDho/1JwCeiMWshOr3qy3Ex0siMS/ns2PExswx6H+FyuXA4HFy+fJmysrJlq0GViHt7e1f8/MJu6Y8iLb1SN/Tdoqqqiv7+ftFtq9YQDQYDzz77LMePHyeZTNLf3y8ad+SJG4uITIWCRJnGj2X9ek6ePMnOnTsZP/53iwhYhYSCPT6Nz+fDYrEIEp6bm2Nubo5MJsPVq1dFClp1tRoZGeHatWtUVFTg9XpxuVyYTCZOnDhBIBDAbrdTV1fHzMyMSEOPj4+zYcMGSsa8KJK8TFNbkSTig1eZzz2I1+ultbUVQnNsTgZWvGaaTBJjeIq0vYa+vj6cTiepkeuk0aBh8b5lJUNBYhqXy0VPTw96vR5JklByvSuKb0sSZOzzeGY8zM7OUlBQQKnsEwviRfsmgyM8IgQ+DAYDY2NjaLVaLl26JHSNS0tLaWhoIJPJcOrUKbRaLSdOnMDlcmHx9K94jjIKZt8gZrOZTCbD9PQ0JpOJ2dlZYajR2toKZKOnwcFBka7t7+/PajCnV9dVV393L7XghdHvwozPwtR9VVXVB5qNU2vFXq+XgYEBKisriRjGkdAIswQBKYNc4GVrwVbRsf5eoC6gF84jwzvRb11d3R3/Rk5ODoODg+/7AuWjwCcuEq7JWUn2O6u01fDBCL98rKB2T6tepSv9XnXJWSkiVlPRd6t7+n5B7YZerQ68FKoYhQpZlkXdT5Xbg3e0cB955BFqarJko3aDhszFKNIKIv4oBAzZOmxOTg49PT0kc1dObylA2JBPIBBgfn5eqHVlMhm8Xi/Xr1/HbDZTVVUllKC8Xq8Q8XA4HED2Bax2IG/fvh2Hw0Fvb6+IDiORCFarlampKcYTBqEMtPhgFLxaJz6fTzTizIYSJDQri/BnkJmKawmFQiiKkq09koO89CV8a1uvPl80tmm12myXc9DGagWt6HTWwlEd+5pKmVdcyGSQ8RkKsNvtoqkMsiNjvb29XLt2TRCSLMuiO9rtdotaf9xWusr9kYhas/aM6giSSq6Dg4OiMzscDhMIBKiurhbNUWo0rPYaLIXaZd/U1HTXC9eVot+FDVdLiemDxsKomIBtOQGTlefUhfJwu92k0+lFuvT3img0umgECm4f/S6F6vMMn5xo+BNHwo+WQX1ulnQXIq3Av9m48mc+ibhd97QaaQ4MDKxIxB9FWvpu0tALkZ+fL0ZdVKi1x1gsJhYRubm5jIyMALBu3TqefvppMcd6veAhJCW9iBYyyIStpbRGs/KKzz77LOFwmP2f/RojORvISIsfGQnoq3mawsJC6uvrKSgoEGpTIyMj5OXl8fM///McPnyY0tJSIpEItbW1aDQann32WTo7O9FqteTm5rJ3716ee+45duzYwYYNG9Dr9UIOMRaLCY/Y5M5/RlrW3TLrU49bIi3rGCg6hF6vF1KDlhw71/MPryD3LzFc+iCSxYlenzWrCAQCjBbvI6a1LnLnUm7JHY7WPEkoFGLdunUipZu+tp5l78yMBCPlWFJZz+7CwkLS6TSxmoNEbGVL9p2NhHn432C1WqmuriY3N1dIy/r9fsrKyti8eXP2fCwW+vv7hYewyWRCo9Hgz6lhzr5umauYhMLM5q8IBastW7bw2c9+lsnJSYaGhhgYGBDX1ufzCY3r0dFRXC4XgUCA7du3r5iS9ng8QlzkTlHwSnO/76bb+YOAGhWXpx/AkHIKn2IgK6GKwi7r16msrMTlchGLxbh58yZut5uJiQmRdboT1C7opYpc9zL363K5hGtXTk7OJ6JT+hNHwloZThyF/UXv/KzABN96EA6vvFj+xEKtfV69enVFcY/q6uoVa8QftojHu0lDL60Lq6iqqhIdl5AVXrHb7YyMjIgX8Z49e0gmk0zlNhN45n+R0L+TIomX7+CVhn+DrNVRVFTE66+/jlar5ezZs4S+8DcM5LSgei8lZQODm38Jd/mRrOj8rRd3U1MTPp9PzAFfunSJ119/nStXruByuYTG9EsvvUQ8HqelpYXa2lpsNhujo6PcuHFDjPOsX7+eqqoqFEXB4/HgcDi4MjDJT6t/jajtncgrYi3l1cbfJGbKY/369RQXF6PX6/H7/Yxv+QX6qp8mJd2SQURmrOpRLlR9ke3btxMKhZiens7KexpsvNz423gt7zQXJSwFXNz6H/AYs7rRly9fZnZ2lk2bNrFJ/wVM7QcheSt1qgDD1RjPHRUd4oODg9jtdsoqqzjW/G+JV7wzX5802Hm77pfQND/C6Ogodrudrq4uHnnkESYnJzGZTCIVD9mGqZaWFkKhEGazWaiWNa5bx8uV/5xg1QFxf1J6K9Gn/gDLoa9js9nEgiwWi3Ho0CHWrVtHT08PY2NjYsTI5/OJlLjX66Wuro6hoaEVU9Iq+dwpCl4a/X5cyHcp8h2FPCX/LTnxd1LkZsnFppnfYqo9+47Q6/Vs2LABnU5HZWUl+fn5TE9P43a7b0vKK40hDQwM3FX0uxAL68LwyYiGP3E1YYAKK5z8FIyFwJ+ABjt8nD0KPkhotVr27t27orjH7QQ9PiwRj9VEOd4tZFnG6XQuSqebTCbGxsZob29ny5YtyLJMMBjE5XLxSl8fJZ/9J7w9F4mg48CnnmNLLMaxY8eorKykrq5OKHDp9XoCm3+bt2dHcOkzrDvwBO09/RQXFtLT04PVaiWVStHa2opWq+XTn/40iUSCK1euCGnQ7u5url69it1uF6nUkZERduzYIWaAVe3rZ555hoGBASKRiGiGungx6/ChbTiA97l/TV/3Bebm5ijdfJB1Wi3nzp2jt7eXUCiERqNBq9UST6To3fCLmJ/5fS68/D2S1kJyi6tIezy89dZbuFwuvF4vubm5eDweKlsOcal+Jzr/GEoiSjS3AlmjZfaWwElRURENDQ3cuHEDWZbZsfmfc/PYXsYC3WgTVgpzq9Dn6BkaGmLdunXs3buXY8eOcf78ebZs2c0ruaWELD1YNWk0JU0UlpRx7NgxdDodDQ0NTExM8MILL4iuW0VRmJubw+VysWnTJnp6eojH42i1WgoKCqiurubChQvUNW/lcmoT5s0BKvMtJO2VZDR6nAYDhYWFQLaRSu3ALikp4VOf+hQvvfQSPp8Pq9VKVVUVY2Nj2O125ubmhFKaOta0EP39/TQ2NiLL8opR8NLa792KbHyUcMiVfN74Hcb8PXj80zSV7EZfaGAoMkR7ezubNm1aNDdssViE4QNkU8vT09OCiHU6HTabbVEXtFr3rqmpub2u+13gk1Ab/kRTU5kV1jt/dgl4IRamp+Pxd7yDb9c1/WGkpe81Db0QsiyvGKE4HA5Bwu3t7UxNTbFu3Trq6+tFdB8Oh9m2bRtHjx5lYHgEv6UMJbeUy5cvC3u8GzduiJdofX09U1NTJBIJYlob86YSkpKOZDJJMBhk8+bNhMNhLl68KNS8+vv7aW1tZfv27Xg8Hk6fPp210cvLY926dUxMTGAymQiFQly5coXTp08LKUmj0cipU6eEPrKqtytJkpAbHBoehoJ6wpYSYvG4MGGYnZ1Fr9dTUVHBrl27yGQyaDQaLrR1knA14k/KjI2N4XK5OHjwILOzsxQVFYnofX5+nunpaWYVK3LpekbHxkX9Va/XE4vFCIVC2O12FEXh5MmTzE35qLFvQ5uyMT4+TjweZ8eOHczMzHD58mXm5uZ46qmn6OrqIhgMEjPlM6N1EUumCYVCJBIJmpubmZycZHJykry8PHbu3InP56O7u5vGxkYAenp6qKurE7KyqhKWw+FgcnISjUZD486D2Jv3MzE7T0VFxSLFKzXLU11djcfjYXBwkObmZqqqqujo6ODy5cvk5eWJazE8PExdXV02A7EgJR0Oh4nFYiiKsmIUvDD6NRgMH8vI93Yoy13HxrIDjI9OMDs7S3V1NTabjfb2diCroqWS6ULo9XpKS0uFOIfVaqWnpweNRkN/fz+XLl0S39N32+C1sC4M9380vEZPP0NQ09NtbW2Lfr4aEasvrA+KiN9LNzSsXBeGbKeqOv7udDpxOp3Isiz0ndUasXoMBw8eJJFIEA6HKSkp4ebNm8iyTE1NDW63m0AggMFgIJFIcODAAaxWK+FwGK/XS1NTEzMzM+Tl5aHT6fD5fDz99NNMTU0JwvnhD3+Ix+Nh7969pNNp9u3bRzweJxQKUV9fT01NDXa7HYfDwdjYGB0dHZhMJkpKSqioqKCiooKenh5SqRQ7duxg//79SJJERUWFaJIJh8OcPXuW0tJSysrKiEQihMNhWlpaSCQS1NbWCkMAWZb54he/KEQmiouLGRsbY+PGjWzbtg2tVovD4WB+fl5E+E5ntnZcWFhIMBjkxo0bJJNJzGYzR48epaSkhKGhIaEZ7fV6GRsbw+FwiMj/3LlzVFdX43K5hCqVVqtFURQx433y5EksFgv79+/nwoULVFRUCBMJgKNHj5JIJJidnaW2tpaLFy9SXFxMOp1m586d7Nu3j8nJSXp6erLNYFNTy2QYYTEZ+/1+kskkR44cIRaLcfLkyVtOVdn5TrXHYGGadWZmBr1ev6wWrNZ+VQvIkZGR+4p8F2Kh2tbAwICYt29vb78rTWl1znnHjh1ZH2ydjpaWFqLRKJCd6b2XmrKKhXVhuP9rw2sk/DMGrVbLrl27AMSqVv35SkSsOtO8393S99oNvRKW1oWTySRDQ0NMTU2J6NpkMjExMSHOKScnB6vVSiCQHduJRqOCZIxGI52dneTk5FBSUsLw8LCoqU9MTFBcXCyiLrPZTE9PD9euXUOSJE6dOoVer8dgMPDtb38bWZbx+Xwkk0kee+wxmpqahBlCKBQSx9zT04PH4yESiaDVajGZTHz5y19mx44dQoHr+eefJ51Oi+OWJAlZliktLRVi94ODg2i1WtavXy/kLxOJBD/+8Y+xWCy89dZbFBUVCUOH48ePi4WHz+fji1/8IoODg1y9elXIU+7cuZO6ujqi0Sg+nw+v1ysIXdVcT6VSvP3225hMJhoaGrDZbASDQYxGI+Pj43R0dGAwGETN2e/34/f7hYawJEn09/djNBppa2tDr9fjcrk4ffo0BQUFDA0NEYlEWLduHYCYVbXb7UIXPBaL8eijj1JdXS3qs9u2bWPdunVotVrRSe12uxkfH19EypIkCfEPj8dDeXk5zc3NnD17lunpaWKxGKlUisLCQqLRqLh3fX195OXlLYqC1ehXnQ2/X8l3KRZ2UFutVkHEq0XD8E4NuKysbFHns8FgEJoM5eXld11TXoildWG4v6PhT2RNeA13h5KSEk6fPi2sEVerEZeWltLf3/++Wh6+lzT0UiSTSTFXqkoGqi/aYDBIeXm5mB+GbEdmY2MjQ0NDhMIhzPVews0nkZIG8qY3C2s9q9VKe3s75eXljI6OsnXrVoYvv8H2/v+NMeZhRF9OT/1zBGMxEomE0IPWarVMTU3xwMEH6Jx5k7eCf0g8kiIeKaWxdidDQ0OiCclkMglZS6/XS05ODvPz86IrWo06nn76adrb2zEajcJo/ic/+QmhUAiHw8Hhw4dJJpPcvHmTQCCAVqsVc7EFBQWU2M1s6fobarveJmgqIvXp/w8nLmVnPjdu3Mjrr78uap4VFRVE9VN0G79DpiyJMV2OZr4Ek9FEIpFgamoKk8kksgGbNm8g6OxgLHaVhElLnnc3Zo1DRN2ZTAadTofH42Hz5s1cGXkF7f7LRPUJEmN1lBkeoru7G8guzlQ1Lo/Hw84d25k9+S2KW4+TL5vxWSSCwRBTU1NC4OTpp58mEokwMDCwSHPZZrPh8XgWdeMmk0lmZmbEi17V49ZqtZSWloqa8ebNmxkcHGRiYoKmpiaSySQuq47E8b8gN1cmN2Sk8Il/Ic5veDjr6yxJEqlU6mNb8323WDhXrI6p3bhxA1dBHjdjx/Ab+zDhpI5HIWpicnISs9ksOp9XSz2r6WsVK9WUVd302yEnJ4ebw+3M5p4npvGQZBdVHES+Dyju43+Ea/jAkJ+fj8vl4tKlS5SXlwvf3qVEvDAtvfCBebd4r2loFclkUqzEV9PrVZWMVB/ZwsJCwuEwzc3NdPV00Fv9F7TKndAgAwqR9adwXv8ckx1Z315Vt7a2tpbk8b/g2dHviH07ucmG2ZO8sOX38eizEZlGo8l+rriI4/H/hLKjB5TsvmlS8I0ksI/tJ5lMUlNTI7x7/X4/k5OTHDp0CEmSiEQiXLt2jUwmw9e//nVu3rzJ1q1bGRoaYufOnbzxxhtCUQuyHbqzs7NiZjWZTKLT6di7dy+zl1/i8JX/jKxkyAPyAv3wNweZ3PCbjDq3ikYy1bpvwnEMad95QM5Ka6y/gNLTgLHjM4RCIbFtVVUVE/NDXK/9PRTHHGRkFCmDJ3WZ6RceQastFa5EkUgEvV7PZd1foHwqm4FRgHTRNJORVjTf+wLpuEaMY5lMJvZs24z5/z5D41w7GUmDpGTI3PwWc9X/HLnyAfLz8zl06BAzMzMkk8m7WiTqdLpF3+FkMklHRwfpdFqkx9WXvsFgYGJigmvXrlGn97P7jd9CkwyBrGVXJoUy/TK+r/+UUX8Ck8n0vstLfhyx0JkpJUV40/bfCBuHbol8ZLik/CXr536TvPQmLBaLkJa9W9wtKat1YdVXfYo2zlb+OiliSMgM8jxO6nmS/42Rj7dAxFo6+mccavf0QnGPlVLT71da+v1IQy9MO69fv36RePxSqN3SqVSKZDK5qIY16zpF0N55a8MMyApIGeY3PU9NcwlOp5OJiYls5Fxbzb7R7wHZ2WB1Xa9RUhzs/FOhyKTOjAby2lAaerIbSRmQFJBgvOKHuL3twpAglUrhdDpFzTg3N5fS0lJOnTpFOp3mV37lV4Swhyoq8f3vfx+r1cru3buFZKDqTHPq1Ck0Go2QoRwYGOCBG38ipCIXHvuezv9JMBjEZDJRWlrKE088gWQPZAlYyh63ImUb36R1vQTy20STUmFhIV6vl9iG0yi5HnENJQkUTRLtY6fIsdvQ6/Xo9XpsNhtpq5dM860SiMQ788WmGNLhU6LRKjc3F0mSmPvu7+CYyxpUyEoaCQVZSfGI++9pqikXJhiqZd5KkCRpRe9oFaqHcWFhofC0nZmZYWRkhFQqRXFxMbt37aLh7d9DTkZuXZZb6dKZfjI//C2Kioqoq6v7xBOwCjUqDta/Tdg8DHBL5EMhTYLukv9JdV3F++L3u7TRS01fR6NRbty4wcTEBIlUnBP8DikpDpIivrNeBrjCX73nY/igsRYJrwHIdk/Pzs4uSk8vjYjfj7T0e0lDr5R2BlZszloIh8PB4OAgFRUV9PX1iXT1hOXU8o0lQE7TGz9OkeUgoVAIv9/P7E/+O5UsFzaRAGd8UtSYVctMpawjK1ohLyEARcKffw3F3UJ3dzd6vV50bF+8eJFkMrlIaOQb3/gGmUwGvV7PG2+8QSqVQq/X09XVhU6nIxQKUVxczJkzZ4T1XywWY3R0NJvSjsyji80vU5aUAJ2SpCw6yLhUy9jYGN///vfRbG9HUqTsomHhYWckkuXd9B4vR5ZlvF4viqKQruhcdo6SDFjCxGxumC4S6d7k5svZVf+Sg5EApWyUSCTC+Pi46Hqvmj69TGFLArTpGMlrL9DmPSzS+KshHo8zMjJy2zE7v98PsKjZR0Umk0EZu05lZHLZ7yQljXPgGOQ5V933JxmjxjdZpk8oKSQ1IfpCpyhO7Vzxc2pU6/f731U2zGKxYLFYiEQi6HQ62iZeJ1KxvB6skKGPV9nPv7/nv/FhYi0SXoPAUnGPpRHxe+2Wfrdp6KUNV+Xl5fdsFVdVVZVNod0isfHxcZJKdEXdYwBFTokZ1fXr15OJray/rCKTyWCz2YhGo9kULIllRCagSZOTk4OiKKRSKdLptIhkVQK2Wq2Lxq8CgQCyLGM0GlEUBVmWCYVCIlNhs2WjTtXcXk2tWgzyaqcIgEGJC9KTZZmMlFxR9lWSFCRddhuNRvNO84xmdV1lNNnt1fOUdKtsK2VfmKoPrcFgQJZldCtIKKow62Ty8/Pv+D0wGAyLRvLuFbIsY9Le5gqmUytLiP4MIE1i1d9lpOUd6R8EdDoduc7VDSRud4wfF6xFwmtYhJXEPRZGxO9WxOPdiHKsFvkuhUoiGs1yHWgViqIIP9WamhqGhoYoyNnJqOlFlBUiXMNMHQFNgNLSUux2O4Vf/m8ov/9DYDFvK0DM4BArc6fTyQMPPMBro1dJla+gOCYrMFrB7t278Xg8jIyMsGHDBgoLC3n++eeRJIlf/uVfZmRkhFAoRH9/1pjggQcewOfzUV5ezg9+8AOMRiONjY3k5eXR1dXF5z73OUwmExcvXiQnJ4e5uTm6urqIYCYp6dEqiWXHrSAzlbcZPTImU7bpSuNpJC5fX/EamueaaNm9m7y8PBGxDgY34cttz6bcF+xcoxh5eNOX6Jb60Ov1DA8PUxl9gmH+coWbA1pfMY899hiFhYXMzs6STqcJzj6Iqef5ZSYbiqSh+XP/CnLvrt44PDx8W03mpfZ30WiU2dlZkcY2Fh1BeSsPKexZ/EFZA40Pgub+sT19P1HBAfp5bZnetKzoqLM8gIGV09Fq02Rubu57MqlQa8K1xr2cxUSK6KLfS2ioYP+73v+HhbVIeA0rYqG4h6p3q0bE7yYavpc09L1GvivNC6tR5OjoqBh9KC8vR6/XU11dnZVR9DyOjVJQpCwrZbI0lTfyCAWmWiYnJ9Hr9UQiEWbCafoKs16/aqSo/v/qhl+joaFBCHe8+OKLKD2N6PylKttl/wagGWjGGqmht7eXwcFBysrKaG5u5kc/+hGJRILHH38cWZaZn5/n0qVLFBUVsWPHDqLRKDdv3uSFF16gtraWyspKtm7dKl5iN27c4Ny5c1y7do2TJ0/S19dHYWEh+fn5XKn7yorH3VXzOVyFxWJ0JJlMUqzZTIH3wK0NJXH88nwhuVM7mZyc5NSpU1RXV1NRUcHGyNeRkoZbzWfvXEPO7mN20kt9fb0Q4vDftKCbL3/nIMR/Mnntn6WwsJBQKMTVq1cZGxsjdeTfEdXbb3kOI3S7pc/8/l0TMNy5LpxIJBaNMQUCgUV1yMLScqQv/W+QZBT51kJP1oDeDM/88V0fxycN2/kVjOQi3aIRiey1aYn+MmMDM/c8/3uvUOeFtRjZz78DJCRFPRYZPRZ28msf6DG8H1iLhNewKlRrRLV7emFEfC/d0nebhr7byHcpTCYTU1NTwgoNEC/d8vJyQVSJRAKn00l7ezvNzc309vayf+aPeHv2b4jnD0LcgMu3jxrtQQbjg+zZs4dUKsW1a9eyn930a0z1VdEy9SqGZIiAqYSell/lRlCPpbeXiooKRkZGMJlMFBcUM/zDhzFsGkaqHEWvMbPb9SVOnBjg8U89JMQuJEnir/4q2zzy+OOPk06n+ad/+idSqRSPPfYYw8PDXLp0iUwmw+7duyktLaW3t5f5+Xn0er0QHrl69SoAe/fuZXR0FIvFIhZK3c49pHaUs6H77zFFZ0iY8uhp+CKuI79MzuQkfr+fgoICdDodToeTkolfIDlURLTkBmkSSGOV7Lb/My7NXeXppx8mGo1y5swZUqkUsizTVPO7TNiPETAOoI3Z2Wx4jpBkpr+/n5KSEmHGEIlE2Of97/Qlvse49Q3QpylgA/YbRwmG4fTp00SjUQ4ePMj8/Dxvv/02pU/8Xzb7LxDvOE5UY8X66K+TaXiQvLv6ZmShNr6pzYBLI91wOEx+fv7tF4nbnkHJv0To5T/EFvdAxRY49C8h7/0Zs7sfYaOYz/FduvgR07RjIo8mPkOxeQuZ6mzWSZ1Z/yCwcF64gSexU8Xl8D8S03goN21lPT+HhYIP5G+/n1gj4TXcFgvT0zdu3GDjxo2CiNVu6dulpe8mDf1uyDedTmct7G6RrsfjYcOGDWJkIZlMcv364rRqf38/dXV1jI2NMTw8zMaNG3njjTfIkw+TGNxPOBymtLGRzC1Tc4PBIJyZVDUsb/4+RiseIScnh9raWjpOnmTjxg3cuHGDdDotFifDw8Moioadlq8x3zvP3Nwc4/kG0ukMdrudiYkJnnzySZ5//nkymQybN2+mv7+fmZkZiouLyWQynD17FkmSqKurE+5CfX19xGIx2trahHazy+Xi6NGjnDhxgu7ubmKxGGNjY+h0OqxWK5///OeRJInh4S9x/fp1dDodDoeD48eP89hjj7F3717cbjcHDhzgpZdeIpPJUFnyIEWJ54TBQY8z25D3gx/8gKamJkFgdrsdU8bOZ8v/gFdffZVIJEKwxMSGDeuZnZ2lo6ODLVu2CG1mGZnpV8tw2H4Nu93OgQMHeL73eerq6vB4PLS0tAgCrq6uxmQyEd26l86CRwkEAjyx/QkxY3278sNCaLVaenp6RGe80WiktLRUfH4lc5OVMGsqx/rVv4MPUEv9foOZPLbzy8t+vpJf8XsdSbwTCtjAJu+vAyzzUv84Y42E13BXULunsyL8W+jr66Ouro7BwcHbdkvfLg19L+S7lHRV8lFJV5blO9aXVMF5u93O+Pg4Ho9HSFAmEgl0Oh3pdFqISqTTaV5//XVBxqp85fT0tDCAaGlpobOzk82bN9PW1iYUrdTmpb6+PsLhMC6Xi8HBQerq6jh27BiSJPGjH/0IgKeffpozZ86QyWTEDKbBYKChoYGamhry8vJ4++236ezsRJZl9Ho9O3fupLi4mLa2NpLJJG+++aYQDFEdlDKZDI2Njfh8PgKBAOXl5bS2tuLxeGhsbKSgoIDOzk6Ki4tFZFhaWkosFiMnJ4fu7m6i0ShOp5N0Os3Q0BBWq5XeW1G/Xq+npKSE4uJirly5QigUIjc3F4vFwptvvkk4HKampoabN2/icDiEhrLZbBZ16+vXr+N0Otm6dStut5u2tjZ8Ph979+5lYGCAbdu2cf78eXbv3s2xY8cIBAJUVlaK2v5KWFbTNRrJy8t7z+IwkUhE+EWv4e6wcK74g4iKl84L349YI+E13DUWpqdLSkro7++/bVp6tTT03ZDvnUh3KdS6sOqWsxomJycpLS0lmUxy7do16uvrhb6vzWYT3bwWi4WXX34Zo9FIfn4+fr9fzAKbTCaSySSDg4PYbDYcDocg2tnZWTQaDclkEpvNhkajoaqqiuHhYcLhMAUFBbS3txOJRJAkiQ0bNvDaa69hNBpJJpPEYjHq6+vRarV4vV5+9KMfiW7oPXv2EAqFmJ2dZWBggNbWVpxOZ7ZDNDcXo9GIxWKhvLwct9vNzp076e3tpba2lqmpKW7evInNZqOkpET4ugaDQa5du0ZJSQmyLOP3+5mbm0On05GTk0NpaSl+v59EIkF1dbWQk5yamqK4uJhr166hKAq7d+9mbm6OmZkZgsEgVqsVnU4nxEimpqbYsGED09PTKIqCz+fD5XKRTqfZtGmTWHj4/X5yc3Npb2/nqaee4tq1a0J+ErIZj9zcXOx2Ox6Ph7y8vBVJd2GkC9nFoKIo79o04HY15TXcHkuj4pKSkvdt3y6Xi/HxcSoqKu688ccUayS8hnvCwvS0OtdpNpuXpaVXSkPfjnzvlXSXwmQyrTjnqUKNEjOZDPF4nEQigcvlwu12k5+fz8zMjJBMLC4u5qWXXsJoNPLkk0/ywgsv4PV6KSoqYu/evVy4cIFoNCrI8tq1a4TDYbZs2cL8/LxoCguFQiIlrBJ1W1ubSIuWlpYK8kkmk+Tm5hIKhejo6BD60A6Hg1AohMFgoK+vD5vNhs1mo6ioiFAohMlkEgS/ZcsWBgcHmZycZPv27fT09OD3+7ly5Qrr169nx44dvPHGGwQCAWpqahgYGKCiooLr16+jKIqoi9bV1eH1eikrKyMvL1t9feWVVxgYGECr1WI2m8nNzWVmZkZ4UqvOS7Is09zcLHSgVb1rg8HA8PAw0WiUhoYGIpGIsJTU6XQEg0EuX77M9u3bmZ6eJhKJCAtBl8slOmorKyvFYmJyMjufbTabl5HuUiytC98rZmdn16Lg9wg1Kh4cHHzf9rmSjvT9hjUSXsO7gpqe7urqwuFwIN94EfPVv4XxDnCU4d3yFSqf/k/AyuSbTqcXNVLdK+neK/r7+6moqCAejzM3NydSsu0v/j3rWl9i09BZkhoDsw1Pcdr+EBabg/r6el577TVSqZTQeNbpdEQiEUwmE3V1dYRCIXbv3s358+e5cuUK+fn5eDweUqkU+c4zxB7roj83Sw65UynirzwGZK0K5+bmsFgsKIpCKBQiHA4jyzJms5lkMolWqyWdTvPAAw8wMjKC1+sV3d0OKUL4J/+RwvGzrJdgrvwBgg2l6HQ6EokE7e3teL1eKisrycvLI5PJCFcnSZIIBALo9XoKCgpobm5mfn6eyspKbDYbRqORjo4OWlpaxPVzOBwkEgkaGxsZHR2loKAAvT7rGSxVjDHdcJL09gnSUTOXutvQSVvFLLNGoyEej2dT/3E/ofVvMGo5gaKNY5yvoXsmxFhbnK1bt2K1WolGo2zdupUXX3yRJ598kmg0ytTUFADj4+NYLBYkSWL79u243e47Zj/gHR3pd0vCa6no9weyLFNZWUlnZydDQ0PU1NR84LXijzt+ts9+De8JLpeLffv20ff9P6D07d9FkSQkRUHxDJN34r+S1iQY2vJLaLVaysrK8Hg8ognmgyDd280Lh8NhrFYrpaWldHZ2kpubS3SwlQcu/kdkJYWkZDCkUpR0fY8HnZ0MfeqvuHnzJgUFBfj9fjZu3Mjo6ChjY2NCWEMVsd+2bRuDg4OEw2HKy8uZn5/H5ejB9/mbgEboMwaKtMg/fxzdN76MTpd1G1JdoOx2O3q9npqaGjZt2kQgEODy5cvo9XquXLmCwWAQBNLfcZV9J36FnLgXWclG3YXuN8n9dhvDh/+KKX+EpqYmUb/2er3k5uaSn59PUVERsiyzc2dWzejMmTOUlJTg8Xhwu93s2rWLwcFBmpqaGBgYoLa2ltnZWWFdt3XrVlKpFDk5OdkFjekaiR0/JatDqYA5RHrbWWRbhEzbwxgMBiRJyhJwJEzm4dcYsY8LIZOYc4Ae+/9gn/2PaShq4OzZs2zfvp233nqLbdu28dZbb7Fx40aKi4uFmYZqUah6Gqtp6Q8Ka6noDwaVlZWMjo6+51rx/V4XXpsTXsN7glarpan32yhkCRjeEbOQTvwxcixAJpNhamoKu90uZi/Ly8vf94dmNX9hFaq5veqMo3/rz7KaxAvEIGQUiubbKY65sdvthMNhcnJyGB8fF809kUiETCZDf38/u3btor29HYfDQTqdxuv1cvjwYeS9Z25dhAU1SEkio5cpXPcjQqEQNpuN4uJifuEXfoHCwkLKy8tpbGxEq9XidruxWq3Y7Xa2bNnCzp07KSkpYXp6Gnv3C5hic4KAISuhaIzOUjD0OgUFBYyOjlJcXExTUxMNDQ3s3LmTmpqaZfX3srIyxsbGRCp7fn6e3NxcqqurmZmZYXZ2lsHBQXbv3r0o7VdWVoZGo0Gzqw1BwCDEqZMNbTz6mQd4+umnKSoqoqqqioCxH8rGFiuJyQpoFAasP+att97C6XRy+fJltm3bRl1dHU888QTDw8PLVK+KioqYm5sjJycHv9+/SF1sNdxpXng1rKWiPxiotWKNRsPAwMC7nite6i98v2EtEl7De0MyDlM9K0ojyukkzsQ06eJsV2osFlvk//tBYG5uDoPBsEifFrIds7FYjO7uboxGIz09PVROtyMpy1/eChKzV15Ds+Or3Lx5k/r6emZmZkgkEty4cYNIJILf78fpdDI9Pc3Y2JgwkRgdHUWj0RDay2ICFjtXSFZEcIxn07upVIrnn38eo9GI3+8XI0aqK4/aSBQOh8XP7f5+FGQklipJybjCw3h0OuLxeNaqMRRCkiQGBgYAhOuUSmpqTfbkyZOYzWaef/550XXs8Xjo7e2lvLycN998k/n5eVH7HRgYwOVyETWPrizPKSkM+q7gim8mEAhQUlKCtmie9Aq61EgZfPoeXOZnhHmDmmKWZZkDBw7w9ttvL/sT1dXVDAwMUFNTc9tuaRXvti68lor+YPFeO6jv97rwWiS8hvcGrR7M9lV/7c189Cmi4eFhLBYLLpeL/v5+mpubmZ6eJmEtQpGWp64lFELabOORVqsVTVKq9GU6nRbmCZOTk6KOqloZBgIB9OEMrBJ1af1aocUN73jaBgLZrIHT6USSJILBoFDhUhQFvV6fXcgYV0+9JsxZJx+VcPR6vbDpWwpVbCOTyWA0GkXzWigUIhqNkk6n0ev1YnuLxcLExAS5ubno9fqsjnTCukzDX4Ux7RQdyaOjo2gTuSsTtiIjR3Opqqqivb2dpqamRb9WO8OBRS5esixTUlIisiwezxJZySWw2WyEQqHbbrPs0NZS0R8K3q+o+H7EWiS8hveEjKLg3/zz2M/95SLHm4wkEyzdiU9jJzo9jcFgwGKxkJ+f/67HRO4GwWAQm80mSCc3N1d0/mYyGZFirqioYG7jF3BMtS76vCJpiOlzMO74HOG+AQ4dOsTg4CBHjhyhp6cHi8VCQUEBkiThdDrJycmhubmZ2dlZERHPz89T3l5P6KGhLBGr53vrhd5i+i+cTnuxWCzE43GKi4vJz89Hp9NRU1MjiG96epqzZ8/idDqJxWIUFxdna7eah1g//gqKIolrrtzKA0v7f5HD2w8DcOHCBbZv3y6sEEtLSzl79iwA+/btw+12U1ZWhtudTb1fv36dbdu28eKLL1JXV8fRo0cZGRkRo1ORSAS73c6ePXs4d+4cGo2GwtmHmCj78aJrKKHBkWhAHy5kZGqE/Px8uru7+dRT/5IXOENUmUdZqDUtZaiOHKV/sJ9Dhw7R19dHRUXFonKFmka/du0aO3bsWFSXDwaDaDQaPB7PPYl43A3WUtEfLt5tVKwugu9HrEXCa3jX8Pl8DA0NMb/nV4lt+yKK9M7XKVa2g+vb/q0wdc9kMiiKgtvtZnh4eNFc5/uJ1XSktVot/f392O12IYrRLlUztvtfk5bfifZCpgJGnv7brF7wLc9f9eHOZDJCajIajYqU72uvvca5c+c4evQoNTU1pFIpBm4+SOGlJY+XAusvbyChNLBlyxbMZjOVlZUEAgHa29vp7e0lkUiQyWS4dOkSPT09VFdXE4/Hicfj9PT0YDab2fvpnyfxi98nY3zHrFwxOxh+/E8JGgs4e/YsiUSCTZs20dbWJiLtpVAUhdnZWVwuF16vl4MHD3L+/HkcDgfz8/NANqJW55FVi8tTp04xPT3Nli1beKL837Ne+rzQDwawx+vZOP2b6HQ6Ifyh1WrJsTh4gr9EH3/nxSoreiomnkU7Vie6nuvr65menl6xvr9nzx6uXLmyyBdarQ+rI1+3w73Whe/VqGQN7x3vJiq+n+vCa5HwGu4ZqhuR1WpFo9HgKiri+qZfY+cz/1+kqW5wVmAqbMTZ2cno6CibNm3C4/EIgiksLBSEDLyvEfLSeeFEIkE4HEar1Yp5XI1Gw8WLFykoKGC+/mvcyN2F099PTDYiV+9kz969fO9732P9+vWCwC9cuEBlZaXQqE4mk8iyzGc/+1m8Xi9Xrlyhvb2dyclJEYXPd/0qJTMpTM6X0WDCrPkXGM12+vv7ycvLY9u2bbhcLvr6+qiqqsLr9fLTn/6UaDSK1WqlqqqKkZER9Ho969atw2g0EggE6O3tZcOGRzH+8TRT536cbRB77l9j8gVIBgI0NjbS2tpKQUEBqVQKs9m8jNDi8bgYt4pEIlRVVeHxeDAajVitViYmJjh9+jRGo5GdO3fi9/uFTrXBYBDiCDIa9mR+i+KZJzjX8yJyzMpTD/5zDOUGIBvNp1IpLBYLg4ODOBx5NNz8XSyVEeyFZgYvBKmraCZgC9DU1CTcmSorK/F4PFn3pQVKV2qN+PTp02zfvl1ExGp9OC8v77bd0vdSF15LRX+0uJeoWK0Lv59ZkA8La5HwGu4JavRbXl4uVKIURcl6wDrLofkIFK0TmselpaW0t7dTVVUlCCEYDDIzM4PL5aKqqgqTyfSBRciDg4MUFhYyNDREIpFgw4YN9PT0kE6n2bdvHzMzM8QkA/HaB5gylrNn717a29txOp0kk0mmpqaIRCJEo1Ha29sZGRkR41UPPfQQZrOZy5cvEwqFSCaTRKNZOzV19nH9hocx8m9Jx77OkHuSUChEU1MTLpcLl8tFT08PWq2W8fFxOjs7Wb9+PV/60pfIZDLcuHGDcDhMMBgkNzeXuro6tm7dys6dO+nr6+PClasYNz2KJ28DA+5RcnNz0Wg0RCLZESVZlonH4wwODhKNRoXgBcDU1JTw7s3NzWV+fp7BwUEOHjyITqdDkiTcbjcbN25kenqarq4utmzZwq5du5AkiZqaGi5fvszw8DCjo6OUOurIDa7Hlsw6MgGi7t3R0cGRI0eoqanh+vXr6HV6XDQz12agqbYFt9tNc3MzkiRRVlYmNLLNZjMlJSX09fUt6o5WiXhhRKzWh6PR6G27pe+lLryWiv7o8bNQK16LhNdwV1gY/dbW1jI8PIzL5cJisXDhwgUxd7oQRqMRh8OB1Wrl7Nmz7N+/P2sLODNDRUWF6LQtLCwUfq+hUOg9R8jqvDAgCEyNhM+ePSvSo6dOnQKgubmZGzduUFBQgFarpbu7m127dtHa2pqd+XW5aGxsxGKx0NbWJqJHgFdffZX5+Xn27dvHiRMnxHFrtVq0Wi2zs7OMj4+j1WrJzc2lpKSEWCyGwWDg3LlzlJaWYjQa6e/vZ/PmzbS2tnLjxg327dtHTk6OkH08f/68mBs+dOgQW7ZsIZPJcO3aNSCbklWdlRKJBKFQCIfDQWlpKS+++OKydF0mkxHSmXq9nsHBQXbt2kVnZyfxeJycnBwUReH555/nmWeeobi4GLfbjcViIRaLMTk5iSRJt/XpVRW5RkdH0Wq1JBIJTCaTkAH1+/0iDb4QFouFuro6ERXX19czNDS07B4vjYjV+rDdbr+rbuk7Ya0r+uODu4mKjUYjkUjkPXkUfxRYi4TXcEcsjH5dLtciAlYlFVczX8jPzycez6ohnTlzBrPZTG1tLRMTE0iSRHV1NcFgUIhdqGnY9xIhq6pVkCV1n88nnIsymQwNDQ2CsFQze5W8vv/97xOJRLh06RINDQ00NDSwbt06EZGazWbi8Thms5lXXnmF2dlZdu3axRtvvAFkI63GxkZBcgtdkdTzSafTxONxtm3bhsfjYWpqClmWOXbsGHq9ni9+8YtCL7qmpgaXy8VTTz3FZz/7Wfbs2cObb77J888/zyuvvCJkQQcGBhgbG8NkMhGJREgmk4RCISKRCI8//jiBQIDW1lbS6TSpVEpE7mqaeP369Zw+fRqr1Sq6pW02GxaLhY6ODjKZjEj37tu3T6T4bwev14vf78fhcABw/fp1WlpayGQyzM7OZj2dy8oYGRlZFp0ujIr7+/txubJd3yMjI+J7sFJEXFRUJDTLV+uWvpu68Foq+uOHO0XFam/D/YY1El7DqshkMgwNDZFMJqmtrUWr1S4iYGCZvOFKUGupu3bt4syZM6TTaUGyAwMDOJ3OZWQMvGtCNskZtNd+SPXwyxhme0ilUoKgrFYrbrebnJwc6urqmJubExGvut+vfOUr2O12FEURnbiJRAK3243LkUPp9EVKbz7Pk815FLhcnDx5EkVRcDqdImJU9YwzM/2YLn2DUvcxSnINFBcXo9PpsNlsXLx4kUAgwPj4OH6/nwceeID169fjdrupqqrC6XQuO7e8vLxFhKxG8xMTEzQ3NzM2NkYkEmFubo5IJEIoFCKRSJCX78RQ48Fte4Ux+RypdGKRKEh7eztarZaZmRk2b95MWVkZ+fn5mM1menp6qKqqEvvXarWi/pZIJG577zs6Ojhw4IDoB1CdlPLz8zEYDDQ2NlJTU0MkEmFwcHAZGatRsdooVlRUJOwcYWUirq6uxufzrZqWVuvCt8NaKvrjC4fDQXV1NaOjo4t7HTRp5nNbGba+zDTtKKvNzn3MsJaOXsOK8Pl8zM3NUVVVJSKepQR8pyhYhSRJVFRUMD09ze7duzlz5gz79+8nJycHm82G2+3GZDJRVFSEoihMT0+LNLX6t6xWK1arVfzdVVPW/WfhL5+kMOqjgOwIz2T5g1zf8psUlZZRXl7O1atXmZiYoL+/n3Q6zVNPPUVPTw/BYJB0Os3w8LBIgW7dupX5+XlCoRAVmgD13/wK25L+rELY//4ezdZ1uKt+iY3bsqncwsLCbGfyxo3YTv4hZe3/IK6D0v8Nxo/8PmNF++ju7hZWgDqdjm3btjExMYHRaLzrNGpeXh5PPPEEr7zyCjt37uTkyZOkUil0Oh35+flCaCOUnGNk61/g1/fDLbGM1uCbVHb8Krq4g2AwSE5ODkVFRULdrKioiJKSEvR6PWazmVdffZXHH3+c8+fPU1tbKywh+/r6WL9+/bJjWzoHffnyZVpaWhgcHMRkMokUvoqCggIKCgqYmZlhZmaGgoICcb8lSaKkpIS2tjZGR0fFd0m99yulphdKcS69nnejI72Wiv54Y6kzU05lite1/4pI3RwoEt38H0rZxaP8MVo+eq2C22EtEl7DIiyMfuvq6lYlYLi7KFiFarMXDocFEadSKVFXNJlM9Pf3k0wmKSoqWjEyVrFqhDwxivK/noJYAEDM0BaNnqR+/HW6u7s5deoUo6OjHDlyhJKSEurq6kQn7fj4ONXV1VRWVgrN43Q6zfj4OLFolJpjv405FVy077LQTR5LXeDGjRscOnRIWP45Ji5Q3v4Pqopj9r9MktLX/x0BdydbtmyhvDw7BrVu3TphLbhS9Hs3cDqdIkLeu3evcKS6evUql/V/jl93y7nmllhGxuJjuOrvmZ+fp6qqisLCQlGbV88foKGhQRgwDA8PU1paysDAgDjmpfdGxcDAAJIkCeOHTCaDXq+npyebmdi1a9eKnysoKLhtZFxTU8P8/LxoHhseHhap+4URscViQa/Xi/nhe8FaKvr+gcPhoKq6iteU3yaqZLMl6nd8gstc4a8/wqO7O6yR8BoEfD4fg4ODovarYiUCvtsoeCHy8/MJBoPIsryIiAFycnJErXh6ehpJku5IxrCYkK3uM0jheVCWqkMp5HX/hOrqajZv3izqptPT0+Tk5DA6OsrU1BSZTAaLxUJXVxcDAwOUlpby2muv0d3djd3fR05sepHONGS1pgv7X6G8vJxUKsXMzAz5+flYrv+QjLT42qhkvF3pp7Ozk0QiQTQaZWZmBp1Ox8TEBKOjo/f03/j4OJBdQKg/i0QiQm96Q8s6osUdIC25JrKCUjxB3eZipqenKS4uFsS7FDt37sThcHD+/HkqKiqEktjtpAK9Xi8jIyMcOHBA1ILb2tqQZZmmpqY71pOXkrF67xfWiufn53E4HCI9vZSIi4qKSKVSi+wlxb24TV14LRV9f8EjdxPVTS4WgAEUMtzkhY/oqO4eayS8hlWjX1iZgOHeouCFqKysZHh4GIPBsIyIl0bFiUTirskYQJ+OrvhzCTARJzc3lxs3blBTU8OVK1eoqKjAbreTTqeZm5sTxvbpdJpkMklvby9jY2McPHiQXP2KuxZ/1+l00tfXJ17e6dD8MsJWj8Y7MUxJSQmpVIqioiJsNtu9XMJ7gqMgJ2uSsArKagrYsWMHra2tQl96KWRZZtOmTTidTl599VURDVssFpLJ5G3rwplMRvg0BwIBrFbrogXenbCQjAFx79VacTAYxGKxCHGPpURcXV0tOvsX4nZ14TWBjvsLCVYfOUuy8rvi44Q1Ev4Zx2rRL6xOwO8mClah1odHRkYwGo3LiBiWR8Xq55aSsd/vZ2JiguHhYYaHh5mxN92Sb1wMRdIQKN1NQ0MD6XSasrIyrFYrFRUVlJWVMTk5idFoxG63U15ejizLjI+PoygK/+yf/TM8Hg+uHUfJyMuZOINMvHofO3fuJJFIsGvXLpLJJDOODbDCsUhKGvOWo5SXl7Nz507hKPVu/ystLQWgtLSU8vJyysrKMJlMgvy0aQu56apsLXjRRQFNwoo2lIder2fPnj3IsizUtpZCbYYJBoNkMhlmZmZYt24dmUyGvr6+xdckk8Hj8eBwOLh+/TobN24UHdbvZuEGiO/mwjS1GhXb7XYSiQSJRILh4WEkSRJEHI1GKSsrIx6PLyLd1eaF11LR9x8K2ICG5c+mhEwJ2z+CI7o3rJHwzzDcbveK0S+sTsDw7qNgFWp9WFVoWomIV4qKU6kUk5OTIvXodrsJhUJC9KN4wx6kR34TQJCxImtI6cwED/wGb7/9Nnq9nt7eXtGE1N/fz9jYmGjeOXbsGO3t7TQ2NoraaiwWQzLbOV949Na+s49NBhk0OsZ3/CqvvfYaubm53Lx5k4GBAcZrnyRqKRYGEcqtYwrXPEjhA8+969rvUqikMTo6itvtFosb1TKyqrKKfZrfRkKCzK3HXZFBggPa/4f+3kHOnz9PKBSiurr6tlFxQ0MDZWVlYr7Z7Xaj1+uXZSYGBgYIBALC/rCnp4dMJkNVVdV7jvpdLteymrEaFavNYOr3RSViyC4iJicn72h5uJaKvv+gx8oOfhVAyKdKaJDRsYN/+VEe2l1hrTv6ZxCqvV9paSkmk2nZ729HwO8lCl6I/Px8hoeHhQPRwq5pdUGgzrNqtVra2towmUw0NjYucvZZ1k39uT+EshZCr/wJhGYxb/0UgzVPE9Y50WrDxONxIdyhzvBaLBai0Sijo6NC5ctsNhMIBAgEAuzbt4//83/+DxnXQxRt2k9e+3fBO0aqfDs3q57CkFPL3FgXNTU1zMzMUFNTg8/nQ/n35wkf+2Ok9heQDRbGSg9R//U/gTvUQ28HRVHweDyC+FRSUc3uV0IZu/m09Pe8MfcnZByzmBPFVASepMr5MPqtejKZDG1tbcTjcTZu3MiePXsYGhri7Nmz7NixY9H13r17N3Nzc3R0dOBwOFacx/V6veh0Ojo6OoRi2o4dO4Q4yPuBlbqpy8rKCIfDoj7ucDgWdU2HQiEGBwepr68HVq4Lr3VF35/YxJfJoYxOfkCIaQrZSAtfwcF7E2z5MLBGwj9DUGtjqjvNSs0xtyNgyEbBK6ljvRtUVlbS19dHfX09RqOR7du38/rrr9PU1IRGo0Gr1eJyudDr9VlT+ECAkZERKioqBDGoaepFZLzxs/Ro1jExMcGDDz5IdHAQrSwzNzdHWVkZmUwGr9dLYWEhp0+fxuVyMTk5SX19PQ6Hg/b2djZs2CAanP7mb/6GTCbDxo0bmZRlztW60Gg0fOELXyB95gzXr1+ntLSUYDDIzp07uXnzJtu3b2doaIhg7Rco3PuvqKysxDI9Te/gMA0NDXd9jZaSrurepI7XJJNJbty4ccf9FLCeuuFfoSxVhs/nY926dQwMDFBXV4csy2zdunUZGZeWlgoNalUURK25vvLKK2LW1+fzLUphezwecnJySKfTQrI0Pz9faE+/n1iJjOvr6xkfH2dubo5QKMT+/fs5c+YM27Zto7+/X2hLL60Lr6Wi729UcYgqDn3Uh3HPWEtH/4xgYe13tfnIOxHw+xUFq1B9ea9cuYLb7cbv93PgwAFGRkYoLS2ltLR0URS2Uq1YxdKasaqc4/F4sNlsBINBYSTg8/lEnTAcDou52kAgQFtbG48//jg6nY68vDz++q//mnQ6zfbt27HZbKL2aLFYuHjxIjk5OWg0GkKhENu2bePmzZtCfjIajQoxCo1GI2ZXbwdFUZibm8PtduN2uxkdHV2UXq6oqBDzs/cCtZO5uLiYYDBIPB6noKBg0XVUyXjXrl309vbS2trKxo0bl9WKHQ4H27Zto6enh7m5OdGhrB7/zMzMIuWt5uZmfD6fUM76ILCwgWtoaEjU96PRKD09PezcuZPW1lZKS0sZHBwknU4vqwuvpaLX8FFgLRL+hGOh5nNdXR3AIiF/FXciYHjvUbA6wqP+fa1WS2lpKTabDUmSxLzuSqlpFWqtOBAI0N/fvygqVn9fVFTE6Ogo0WgUt9stHFaKiooYHx+ntLSUtrY2ZmZmePbZZ/F6vdy8eZP5+XmMRiPpdJqBgQGuXbtGJpPhq1/9Kn6/X8hZqnKO5eXlnDx5kpqaGoxGI+fOnaOlpYVLly5RWVlJbW3tMleXyspKent7RTR8p0j3/cLQ0BBlZWUAtLS0cP36dXbu3Mn8/LyQ7VSxUmTc3Ny8KCpet24dg4ODjIyMUFBQIJSLwuEwBoOBaDSKz+fjU5/6FACBQEA4L32QWBgZh0IhysqykX9PTw/Nzc10dXVRXl5Od3c3GzZsWPTZtVT0Gj4KrJHwJxgrqV6thLsh4HcTBa9Eump6eSEW1of1ev2qNeKFWKq2VVhYuOIx6PV6ZmdnRTRsMpno7OwUQhLRaJTq6mrRvWu1Wuno6BDNRL/6q79Kb28vqVSKy5cvU1VVRSwWw+/309/fj8FgoLCwUOg/d3d3s3v37lUbr4qLi3nzzTfFTO4HRbpLMT8/L1LKBoOBnJwcJiYmqKysFGnppVhKxpC1hlRrxY899hjf/OY3CYfDJJNJtFot4XBY1IkPHjy46N69X/Xgu8FCMk4mk5SWljI2NkZhYSEjIyNYLBZmZmY+1GNawxpWwhoJ38eI4eMaf8eA7Q0kNDTyBC18BU3GuCz6XQ2rEnAsBMf+B1z6DqRTBIv30PLVP7/tvu6WdFfCwvqwJEl3RcQrRsVaLbz9v1n/+p+yITyPJ38TmeYvkZJziUajTE9PU1dXx9jYGLW1tSQnbxL4p9/g4d43SWgtZPZ+jR8MFZBRJB577DFeffVVrFYr8Xic2rpa4uUdTJtfRJMTJewtI9/8MKOjoySTSUpKSohEIuTk5IhjXCnSraqqIh6P31Nt+P2GyWRCkiSCwaBIS6+2kFlKxoqicO7cOcrLy3niiSd46/h/Rd9yHl9ZihyfgqWrAVfeb4uxoo+y1rqQjHNyckgkEhiNRoLBIG39Z9Fsu86odBY5Y6BJ/jTlfBUN95cLzxrub6yR8H2KBCF+wtcIMo6iydb7rvF3DKdOs2n4d6mpWj52tBQjIyMUFRUtJ+B0Ev70IXC3gpLtvi3yjiL94RX4j1fBmB0zeS+kuxQL54dVE/e7IWJYHBUXHP8vmK/8IyayU7ol429TPH2RHzf9B5SCBnbs2MHQ0BCKolBuTuP666eREmFkJY0p4YUT/40H7dtJfeUbjI2NUV5eTiKRYHR0lJxD/UyWvggKpCVIF/QwVnATx+mv8MDGn6OwsJBoNMqpU6fE4me1SPf8+fP3fI3eLVZSttJqteTn5+N2u6murl4xLb0US8m4r68Ps/48gWfPokgSikZL1Kbgqxyi+Ob/BLLSlB90PfhusJCMM5kMocwM7q1/hqKLgpwBBa5Jf4OHLh7lT7IjXWtYw4eAtcas+xQ3eZEAYyi884JVyDCvvYm2buyOBAzZNPCKKehrP4bhS4KAASQlgzIzgP/VPxNNQ9PT0+Tn54umoaWNVPeKhfPDC3+20hzxUkiSRJUpifnKP2b/fevnMhmkVJwdc8fJzc2loqKCUCjE5z//eXLO/2+kRAj51nmqspKNvisUp2coKSmhqamJrq4uCivsTBW/yuKdKyApaPZcJRaL4Xa7mZ2dpby8nEgkcttGKrU2/GFgYT1YhUpI1dXVDA0NUVlZedfdyyoZHzlyhPnql28R8K2LImf/f7W2i1h4GEB4In8cUFBQwPr165FbOlEMkSwBw617qjDCaaa5/lEe4hp+xnBPkXAymVyxqeeTAvXc7odznNBcfYc1FkBSNAzFzpET3rzqZ1W94Wg0uuK5Wm4cwyhrkTLLSU8/cgnLgX8h/h0IBN7V8d8OExMTJBKJRXOvDQ0NnDhxgi1btixrdlJhuP4aK73qZTIUejvp12rp6ekRilhFvSeRV5CWVJAIXnuV9K5f4Jvf/CYFBQXY65Mo8gqLAEnBo+uipKRk0Y/b29uZnJxctdbrcrkYGhqiurp69QtxF7ib7+zc3Bxbt25dtk08HieTyZCXl8fY2BhOp5Px8fF7ak6aLVfeIeAFyGhleju+RY79y0xPT7/nlLQ6Dz0yMrLq/b8XzBS3CaH/hZAUmfFMK3mZ5c5QHwbup3fQu8XPwjnC3Z+fpNzF0xEIBMjNzeU73/nOmqbqxwSBlpeJVrS9s5JXkZGw9B7AevPgu953Y+93aRj44TKCykga3GUP077xX6zyyY8WhdOX2N36+8t+rgABWxUnD/zZop/vP/87OL09whFpIa5s/i3GSw6IfydzJ5k/9H9W/LtS3EzBa7/1no79foXv8H8hblt5LV/x0mPE0zs+5CO6O3h3fZdEwcByXW0FbNePYnZv/WgObA2fGEQiEb74xS/i9/sX9YksxT1Fwg8++KAYI/kkIplMcvz4cR555JFV1Yc+Dpifn2c0oeOqfHXxL5RsWvbx2t/AVlu67HMjIyPk5+ej0+lWPU+/30+oxIo08CMUFgfaspJG88DX2Vq9FY/HQzweB7L1RdVj9v1CPB5nZmaG8vLyZT+/fPkyu3fvXp5yTz2M0vt/ITSHpCyWJ/Ss/xybN2/m8uXLfPrTn+b8+fPYnvgtpG9/fdF2iiST0pqINT5C2hfmU5/6FOFwmI7ODiKRYmLG6cULH0Vik/ZZtj7xxIrn0NbWtqptH8ClS5fe09jXnb6zav1269blpKJG6urnBgcHRV3+bj2Nrw58i+sNgyINDSClFexzCoeP/C5+fwCNRvOe09Hv57M5OzvLcCZMh/wni3+hSGjQ86n1v4Fh/eovzQ8S98s76L3gZ+Ecgbu20LwnEtbpdJ/oi6bi43qeHo8Hv9+P0+lke+ETmAhxjj9BIZsmlRU9D8q/h1NXteyzw8PDoglLv5S2wgAAGHBJREFUTZMsPE+fz8f8/Dy5ublU7XgI+Dbpv/9naNJZokXWwbN/SsUDz+Dz+Ugmk+Tm5pKXl0csFqO3t3cRKdfX178rUQkVOp2OWCxGIBBYtPDT6XTs2bOHCxcuLG/W0ung11+Gvzz6/2/vzoPjPus7jn9+u1rrsKyVLPmQLFm+Ylt2YqLgIzaYYmIDJgnYCeUwQ6AwDZQW2gxlhqEdAtO0NFMKoX+EGQoDhWmgECBAEhycuElNEh/ENj5lE0uy5Cjx6rBuyd7j1z/k33qlPbQrrfSsdt+vmUyc3dXmeSRZHz3P9zmk3huHUFxetUtXbvmgmo4cUX19vc6ePatVq1bpR785rzfP3643+Z4Lj4b9ebPV85EfqrW5Szt37tQf/vCHkRufNt2uoaMfU/v6H6pfbeH3nj+wUflNm+W5Jfr7xePxqLa2Vq+++qrq6upi9tOpyU52pXS879kLFy5o8eLFMZ+rrKyUz+cLXwKxYsUKNTU1qbKyUl1dXXFXS0e60vRhLdLDem31jV96irtDeqf7W5o1K1+Dg4NavHhx2rYCTebvprN3eP78+dpc/GHNUp+O6XvhdRWzrNnarodV7DE/0MjUn0HplO19TLZvrI6eASLDN3KEslYf0DLt0PmB/bLkUvGVOlXPX6axF4ok2gccGb6R791fd6cu3Pc7vcn9uhQKSGveKc0Z2XJSWlqq0tLS8ClcXq9X69atC39sukJ57P5hR8JV07Vvlr7WouM//jeFen1ac/df6sgfm1RXWqb8/Dc0ODgot9utJ598Uv5AQFWf/W/1Dbyhzpd/oeCsOSrauFsvHT6q8vJyNTY2hkexBw4c0Jb1O1Xo2q02HdGA2jVPdZpbvEJNxU06ceLEqM+Bo6amRseOHVN7e3vMK/yqqqqmdKV05P7gsTwez6jFbm63WwsWLFBfX1/4ZLBEC+327t2rsrmLtGn1IR088C0F807IbS/Qxtu/Ipdr9AEqJkWGb2S9e70+pdXapTYdkUdFqtEW5anAYEuRiwjhDBYvfCMVqky1/jskSd5FXjU1NY16baIAbm5ujvveI6djvVVKcDhHrDAuLy9XQUFB2kJ57P5hR8Igzpulzqrb1V/Sr8IBt4qLi3X8+HGtW7dOPp9P586dk9/v16c//WkdO3ZM/f39uuU9f6fW1lYdO/SK3G63tm/fLpfLpVAoFL4AwPkcVuv2UW10RrPxgri+vl4HDhxQWVlZzFXrY0/RMsk5yrGsrEwtLS1x95nv3btXZWVl2rRpk9rb21U6710aGHirJIUD2PRZzPHCN1KxFmil7prmlgE3sEUpA3V2dqqxsVFut1vLli1TaWlpUh9nWZY8Hk/4jN9YAdzd3a3m5mZJ0pIlS2LW+FM9Hau0tDR8PnJjY2NULcQJ5Q0bNmjDhg2qq6tTY2Ojjhw5oiNHjoSDMF6fnDrlWMlsX+rq6pJt2yoqKtKrr76qs2fPyu/36/7779cLL7ygQCCg+vp6HTp0KHyC0j333BM3gONZunSp5syZoxMnTsR8fsOGDTp8+HDM55I5U3oiYu0PHisvLy9qFWdlZaXa29tVXl4edUa3NDqAJcWdTje1P9jn86mxsVFFRUVatmzZpMoiwFQjhDPIRMM3UnV1tS5duhQVwM5oNRgMasmSJQnfY6L3BY8Xxo5UQznW/uHI5xIFcUdHh9rb21VZWamWlhYFg0Ht3r1bL774ooqKihQIBHTq1CmtWrVKPp9Pu3btkqSUAtiRKIgLCgrCZxbHMhX7hpubm6P2B4/l7Bcea+nSpers7NTQ0NCoG5LGBrA0MuKN9QvbdO8PJnwxExHCGWBS4TvUq7wzTyuv4XfStSFZlhWu8To3Bjnhu2zZsnFXt6fjpqRkw9iRTCg7Rw1GBkLkx48K4sA1VZ97XGvOfl/5l0/L4/Ho8OHDsm1b69evV0tLi65du6ZAIKCNGzeqvLxcx48f19atW5WXlzehAHYkCuKamhoNDw+rvb096rmpGA13dnaqsrIy4WvG1oUdTn3Y4/GEZyFiBXB7e7u8Xm/c95+OejDhi5mMmrBBydR8E3rpB9Jjn1Gxf2jkv3/i1eU7v67Vmz+kpqYmXblyJWrB1XjSeV9wvJrxeOLVlIeHh3X27FktXLgwqqbsBHHDj7+mtS99VatCI6t1VzT9Sr7CWj2+/PNaVVen/v5+lZSUqLa2VitWrFBra2t4q45z1/BEA9iRqEacqD6cSbVh6UZ9uLCwUE888YQqKyujtls1NTVp/fr1UR87HfXgZGq+QKYjhA2YdPhKUstR6b8+IUUcNGEP9Wr+Lz6jlnmr5fKUqbq6OqVjJNN9X7BjomHsiAzl4eFhtba2qrGxMXqh16w8rX3xK1LEISOWpAVDF7Wz4+fqnvsN3Xrrrero6FBhYaEGBgZ05coVdXR06J577klLADsSBbFTH96yZcuox9O5UjqZerDDqQvH28b0s5/9THPmzFF9fX3U8/GmoqeyHkz4IpswHT2N0lHzDfv9dyXX6OP7LNmSHVTta89rzZo1unTpUkpvOdFacLJSnaaOpaCgQGVlZVq0aFHU9PWl7/+tLDsUdfS+LWlJxyHddtttcrlc6u/vV3FxsVpbW3X69Gm9973vTWsAO+JNTSeqD6erNpxMPdgRry4sjUxBV1dXa/ny5VGL4xJNRU9VPbi5uZlpZ2QVQngapDV8r7N7L8sOBaMet1xuqfdy1Erp8UzVKDiWyYZxRUXFqPqwM1KuLoz+fEjXj9gOjrzW5/Np3rx5unTpkk6fPq2tW7fK5XKlPYAd8YI4Xn04XbXhZOrBjnh1YacGvHnzZi1cuFC2bY9aLT3eISPpqgf7fL5RK/oJX2QTQngKpTN8g8GgXn/9dTU3N6u5uVk9c+ukWD/kgn5p+WZJN1ZKJ2OqR8GxTCaMa2tr1dzcPLr2eOuumK+1Jal05FSo/v5+uVyukZuRFixQVVXVlAWwI14Q19fXq6GhISoAp/OGpXjGLsKaM2eOiouLw1ceSvGnotNVD45ccDXein5gpiKEp0A6wnds6La1tamsrExLlizRkiVLVHrn52WVLpJcN8r6tuXWtfmrpfp7JUXvG45nOkfBsUwkjGPuH153l1Q+ciuREwPOv60PfFM+n08VFRU6c+aMBgYGtGXLlikPYEe8II61f3iyo+FU6sGOyP3CsVZBSyP14by8PDU3Nyecip5sPZjVzsglhHAaTSZ8xwvdmpoaFRREHKk3u0z64kFpy19IsysUnF0hbfsbDf3Vb3Xp8o0pzmRGwyZGwbFMZGtT1P7hr5yRbt4p23KPBHDJQrXv+g/ptnvV39+vrq4unT9/Xnfddde0BbAjVhDHqw9PZjScSj3Y4dSF4wWwY9myZRoeHtbJkyfjTkVPtB5M+CIXsTo6DSay2jkYDMrn84VX+Lrdbs2bN2900I6ntEr66Hekj35Hfd3dIw+Vlsru7talS5dUXV09ajQca6W06VFwLKmspo46X3pWgfTZp/XKkSNqa2vTHXfcoVB/v3w+n4qLi7V//35t3bpVL7/88rQGsCPWqulY50tPZqV0Z2enNmxI7QpBj8ejgwcPqrq6OuGtT263W0uXLlVjY6MCgUDc1fep1INZ7Yxcljk/eWegVEa+KY90U+T1etXT0yNpJMSKi4vDI+BEo+FMGQXHkuzIOGZ9+LqOjg7NmzdPfX19Onz4sKqqqsJ7W6c7gB2xRsSx6sPTWRveu3eviouLEwawY3h4WAsWLNC5c+cm9f9k5AsQwhOSTPhOdeiONXbkERnE8WrDAwMDGTcKjmW8ME50vnQoFFJnZ6c6Ojo0NDQUPjXLVAA7YgXx2PrwRGrDE6kHO1PQN998c9Q50rE0NTVp06ZNsm1bbW1to54bGhoatx5M+AI3ZPZP3wyTKHynO3TjiRwNRgZxrNHwmTNnMnYUHEuiME50vvTly5fV0NCgioqKjAhgx9ggjlUfTnU0nGo9OLIGnGi/cCRnVfTatWt18eLFUb/cDQ8Px60HE75ANGrCkl4flB45Ke1/zS27d5P8Fy3du/zGDqBYNd+01HTTzJmSjvzlwPnza6+9pqLOcwr+74Nyv35G9SGv+jd9Ui7XlthvlsHi1YwrKirU3NSkksb9uumZR7Si16fAG1t1NK9eFQuXaePGjRkTwI6xNeKx9eFUa8Op1IPHLsKKt184UuSqaLfbrbVr16rhwNNa53tOq089p4H8clmLLKnujvDHUPMF4sv5EG7tl9b/UuocloK2Sy7N15/vd+nL3dLnlt4I39raWvl8PnVfXwCVCaE7ltfrVUtLS9T0eGlpqfLOPavZP/iQZEuWHVS15ZL1xAFpUbl087vNNHiSYoVx7cnvy3rqn+S1XLLskEJHG3WX5+cKffGwijIsgB1jg3js+dJTcab0eKug4xl7VnRJX4tu/uVHZAeuarYdVKHlkh7ZLu15VL66ewlfYBw5Px39z8ekrmEpeH0WN3T9U/LQUVtn2nrlcrnU3d1tbHo5FXFXpNq2in/zRSkUkmWPnCrlskOSHZR+8lnJ8OXrk+VMU+f1vSE99ZAkybp+frRLIeUHB1T0wiMGWzi+sVPTkfXhZGvDydaDEwVwrPuFI0Ud0PHLL8oVvDr6+0pS6KefV5E7xLQzMI6cHwk/1SIFYmRQSJb+eLVct9Tc+ME2PDys4eHhaWxd6vr7+3XlypVRgWxdaZW3/ULUmcqWbUvtr6qn+ZTssprpbegU8Fw4MHJ+9hhWKCidfFLSt6e/USmINTV99uxZ1dXVJTUaTqYePN4I2KkLL1q0KOq5mAd0nNknxTg+1RUYUrHvlFS+MGF7gFyX8yPh4gS/hngL3PGfzFDO9XOjzCpK/EHjPT9TJOpH/vRdLj8ZkSPiyPOlkxkNj3dedDJT0InqwmPPig4EAgq68+M3KJ8RMDCenB8Jf3yV9KXDUuREniVbJbMs3bt6topm2GcoZl24tFSq2yGd2z9q1GK73LJWvUPeRcunvZ1TYtP7pZ9/ThruHT3FblnS5o+Za1eKIkfEkfXhydSGJ1oDjmTbtkKhUPjYT5fLpXUb9sj10nfD09GSJMstza2RlqTnXmogm+X8SPiBW6Q7F4/82W3ZkmwVuKXHt2vGBbCUoC5833elubWSRsJXkjR3sXTf96apZdNgVpH0qcclT6FsWQpZ17+9b7lL2v6A2balKHJE7NSHE42GE9WDUw3gsXXhQCCggwcPqqOjQ8eOHVNNTY02bdqkDRs2qPftX1Cg+vo9w873VaF35OuQ4fvPgUwwA2MmvWa5pV+9S3rpsvT8ayG1nT+pB+9eq/nF0ReczyS2bY8O5LmLpa+elU78RoONR3W6I6D6j31ZnsLMXDE8YXXbpX+9pOCR/9H5oy9p5Xs+qbxVb4t941SGc0bE58+fD9eH442GW1paYtaDJzICnj9/vt544w319PSER7zXrl3Tzp07Ry3K8vl8UsEceb50SGp4Vrr4yshtVfX3SAVMRQPJyPkQlkZ+Pr9lobSxPKSnL11UWf5a002alFj7hSVJebOk2+7V0OI/0+svvqj6vNjn/s54s8tkv+WT+lNPpW5avmVGBrDDCeIrV64oGAyqoqIi5mi4q6tLN91006jHUg3gQCCghoYGDQwMqLe3Vxs3bgwvxDp06FB0AEs3th6teefIPwBSQghnoXj7hTEzOUHc19enhoaGpGrDyQZwZPC6XC6tXLlSXq9XFy9eDAfw2FXRUQEMYMII4SyUyg02mBmcIA4EAuHzwOMZL4DjBW8kpy7s8XhGHdBBAAPpRQhnsai6MGa0pUuXShqp/3o8Hp1rOK2S4rPKdx9XVeUnJMUP4GSCN9L8efPUdfJ5LSjzSoFrcrlcBDAwBQjhLBW3LowZzQniC+e/pca65zVYlidVS53dT2nhvm0qK/tgOIBTDd6wi6/I8709WnB55OKI2wpK1TP8denmuwlgIM0I4SxFXTh7VZR26Ll3/J9C7huHyQyUuNT09uf1/u4P6NSpU6kHr2OwW/rmdulqX/gh93C3Sn56v6wVRyQRwkA6EcJZimno7HXO9++ySyzJFfE1dlmybenIhQdV7X1EVVVVkqTe3l719vYm/d6zX/mRyoZ6Rh3/aUmS5ZJe+Lb00f9MUy8ASBzWkfXsGX45A6L1udvjPmd5r07qwoS8ntduHLoRKRSQOpon/L4AYmMknMWoC2en8tBy/cl6Jepx25Lmu1eqpmYSl3GseZv00qPRj7vc0uL6ib8vgJgYCWcxJ4SRXVYt+kcV9odkBSOmjIO2CvtDWlX95cm9ef1uacGq0aNhl3vkSNC3//Xk3htAFEI4i1EXzk75sxfrff5HtfhioayQLStka/HFQr3P/6jyixJfZTiuvFnS378gbfiw5PZIsqRV26Qv/F4qr01L+wHcwHR0DmC/cPYpKd+sd5X/XleH+7R37zN6x53vk8eTpvPOSxZIn/iR9PEfSHboehgDmAqMhLMcU9LZzeUukKwpCkmXmwAGphghnOUIYQDIXIRwlmMaGgAyFyGcI9gvDACZhxDOAUxJA0BmIoRzACEMAJmJEM4B1IUBIDMRwjmEujAAZBZCOEcwJQ0AmYcQzhGEMABkHkI4R1AXBoDMQwjnGOrCAJA5COEcwpQ0AGQWQjiHEMIAkFm4yjCHWJYlyz8sV1eHXMGrppsDADmPEM4VoaD06wdV/ew35PIPaac7X5YekHY9NHJlHQBg2hHCueLXD0q//Re5NLIwKy94VfYzD48E8K6HDDcOAHITNeFccG1Ieu6bkkavjLZkS889MvI8AGDapTQS9vv98vv9U9UW45y+ZV0fO1vluTYY+7lrA/J3tkoVS6e3TVMsa7+WY9DP7JIL/cyFPkrJ98+yk9g42tvbK6/Xq8cee0xFRUWTbhymlyt4VTufvU95MRZjBdz5+u32HyrkzjfQMgDIToODg9qzZ496enpUUlIS93UpjYS3bdum8vLySTcuU/n9fu3bt087duyQx+Mx3Zy0svSA7GceHpmCvs6WJWv7A3r33bsNtmxqZPPXMhL9zC650M9c6KMkdXZ2JvW6lELY4/Fk9SfNkZX9dFZBP/eIdG1AAXe+rO0PyL3rIbmzeHV0Vn4tY6Cf2SUX+pntfUy2b6yOzhXOKuj3/IP8na3a+/Jxvfvu3VkdwACQ6VgdnWtmFUoVS6kBA0AGIIQBADCEEAYAwBBCGAAAQwhhAAAMIYQBADCEEAYAwBBCGAAAQwhhAAAMIYQBADCEEAYAwBBCGAAAQwhhAAAMIYQBADCEEAYAwBBCGAAAQwhhAAAMIYQBADCEEAYAwBBCGAAAQwhhAAAMIYQBADCEEAYAwBBCGAAAQwhhAAAMIYQBADCEEAYAwBBCGAAAQwhhAAAMIYQBADCEEAYAwBBCGAAAQwhhAAAMIYQBADCEEAYAwBBCGAAAQwhhAAAMIYQBADCEEAYAwBBCGAAAQwhhAAAMIYQBADCEEAYAwBBCGAAAQwhhAAAMIYQBADCEEAYAwBBCGAAAQwhhAAAMIYQBADCEEAYAwBBCGAAAQ/JSebHf75ff75+qthjn9C2b+yjlRj9zoY8S/cw2udDPXOijlHz/LNu27fFe1NvbK6/Xq8cee0xFRUWTbhwAANlscHBQe/bsUU9Pj0pKSuK+LqWR8LZt21ReXj7pxmUqv9+vffv2aceOHfJ4PKabM2VyoZ+50EeJfmabXOhnLvRRkjo7O5N6XUoh7PF4svqT5qCf2SMX+ijRz2yTC/3M9j4m2zcWZgEAYAghDACAIYQwAACGEMIAABhCCAMAYAghDACAIYQwAACGEMIAABhCCAMAYAghDACAIYQwAACGEMIAABhCCAMAYAghDACAIYQwAACGEMIAABhCCAMAYAghDACAIYQwAACGEMIAABhCCAMAYAghDACAIYQwAACGEMIAABhCCAMAYAghDACAIYQwAACGEMIAABhCCAMAYAghDACAIYQwAACGEMIAABhCCAMAYAghDACAIYQwAACGEMIAABhCCAMAYAghDACAIYQwAACGEMIAABhCCAMAYAghDACAIYQwAACGEMIAABhCCAMAYAghDACAIYQwAACGEMIAABhCCAMAYAghDACAIYQwAACGEMIAABhCCAMAYAghDACAIXnJvMi2bUlSV1fXlDbGNL/fr8HBQXV2dsrj8ZhuzpTJhX7mQh8l+pltcqGfudBH6UZeOvkZT1Ih3NfXJ0lauXLlJJsFAEDu6Ovrk9frjfu8ZY8X05JCoZDa2to0Z84cWZaV1gYCAJBtbNtWX1+fqqqq5HLFr/wmFcIAACD9WJgFAIAhhDAAAIYQwgAAGEIIAwBgCCEMAIAhhDAAAIYQwgAAGPL/U1qZMSS1mnMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制无向图，分别绘制边和节点\n",
    "\n",
    "fig, ax = plt.subplots(figsize = (6,6))\n",
    "\n",
    "nx.draw_networkx_edges(G, pos, \n",
    "                       edgelist=edge_kept, \n",
    "                       width = 0.2,\n",
    "                       edge_color='0.58')\n",
    "\n",
    "nx.draw_networkx_nodes(G, pos, node_size = 18,\n",
    "                       node_color=node_color)\n",
    "\n",
    "\n",
    "ax.set_xlim(4,8)\n",
    "ax.set_ylim(1,5)\n",
    "ax.grid()\n",
    "ax.set_aspect('equal', adjustable='box')\n",
    "plt.savefig('鸢尾花_欧氏距离矩阵_无向图，展示分类标签.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "72c0024d-ada1-4bd7-b379-170c8fbf8254",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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